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Geometric Study on Noncommutativity in Canonical Nonlinearity
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2024
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Asao Arai
S. Miyagawa
Koretaka Yuge
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Analysis on Fock Spaces and Mathematical Theory of Quantum Fields
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2023
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Asao Arai
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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields
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2022
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Asao Arai
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Models in Supersymmetric Quantum Field Theory
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2022
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Asao Arai
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BosonâFermion Fock Spaces and Abstract Supersymmetric Quantum Field Models
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2022
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Asao Arai
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Q-space Representation of Boson Fock Space
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2022
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Asao Arai
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Elements of the Theory of Fock Spaces
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2022
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Asao Arai
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Mathematical analysis of quantum fieldsâHistorical survey and a new asymptotic perturbation theory
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2021
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Asao Arai
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Representations of CCR with Infinite Degrees of Freedom
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2020
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Asao Arai
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Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations
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2020
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Asao Arai
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Representations of Canonical Commutation Relations with Finite Degrees of Freedom
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2020
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Asao Arai
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Physical Correspondences in Quantum Field Theory
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2020
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Asao Arai
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Elements of the Theory of Fermion Fock Spaces
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2020
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Asao Arai
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Elements of the Theory of Boson Fock Spaces
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2020
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Asao Arai
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Time Operators
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2020
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Asao Arai
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Representations of Canonical Anti-commutation Relations with Finite Degrees of Freedom
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2020
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Asao Arai
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Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations
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2019
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Asao Arai
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PDF
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Analysis on Anticommuting Self-Adjoint Operators
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2018
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Asao Arai
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Analysis On Fock Spaces And Mathematical Theory Of Quantum Fields: An Introduction To Mathematical Analysis Of Quantum Fields
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2017
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Asao Arai
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PDF
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Ultra-Weak Time Operators of Schrödinger Operators
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2017
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Asao Arai
Fumio Hiroshima
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PDF
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Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved
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2017
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Asao Arai
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Analysis on Fock Spaces and Mathematical Theory of Quantum Fields
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2016
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Asao Arai
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Inequivalent Weyl Representations of Canonical Commutation Relations in an Abstract Bose Field Theory (Mathematical Aspects of Quantum Fields and Related Topics)
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2016
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Asao Arai
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Ultra-Weak Time Operators of Schrodinger Operators
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2016
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Asao Arai
Fumio Hiroshima
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PDF
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Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models
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2016
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Asao Arai
Daiju Funakawa
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Inequivalence of Quantum Dirac Fields of Different Masses and General Structures Behind
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2015
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Asao Arai
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A Family of Inequivalent Weyl Representations of Canonical Commutation Relations with Applications to Quantum Field Theory
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2015
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Asao Arai
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A Special Class of Infinite Dimensional Dirac Operators on the Abstract Boson-Fermion Fock Space
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2014
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Asao Arai
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PDF
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FUNCTIONAL INTEGRAL REPRESENTATIONS AND GOLDENâTHOMPSON INEQUALITIES IN BOSONâFERMION SYSTEMS
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2013
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Asao Arai
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A New Asymptotic Perturbation Theory with Applications to Models of Massless Quantum Fields
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2013
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Asao Arai
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PDF
Chat
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A Class of -Dimensional Dirac Operators with a Variable Mass
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2013
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Asao Arai
Dayantsolmon Dagva
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MATHEMATICAL ASPECTS OF CONSERVED QUANTITIES IN A GENERAL CLASS OF QUANTUM SYSTEMS
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2013
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Asao Arai
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Hilbert Space Representations of Generalized Canonical Commutation Relations
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2013
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Asao Arai
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A New Asymptotic Perturbation Theory with Applications to Models of Massless Quantum Fields
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2012
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Asao Arai
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Hilbert Space Representations of Generalized Canonical Commutation Relations
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2012
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Asao Arai
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PDF
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Heisenberg operators of a Dirac particle interacting with the quantum radiation field
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2011
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Asao Arai
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PDF
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Spectral Analysis of an Effective Hamiltonian in Nonrelativistic Quantum Electrodynamics
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2011
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Asao Arai
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Hilbert Space Representations of Quantum Phase Spaces with General Degrees of Freedom (Duality and Scales in Quantum-Theoretical Sciences)
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2010
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Asao Arai
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Heisenberg Operators of a Dirac Particle Interacting with the Quantum Radiation Field
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2010
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Asao Arai
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Strong Time Operators in Algebraic Quantum Mechanics and Quantum Field Theory
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2010
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Asao Arai
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Strong Time Operators in Algebraic Quantum Mechanics and Quantum Field Theory (Spectral and Scattering Theory and Related Topics)
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2010
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Asao Arai
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On the Uniqueness of Pairs of a Hamiltonian and a Strong Time Operator in Quantum Mechanics (Non-Commutative Analysis and Micro-Macro Duality)
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2009
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Asao Arai
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On the Uniqueness of Weak Weyl Representations of the Canonical Commutation Relation
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2009
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Asao Arai
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Representations of a Quantum Phase Space with General Degrees of Freedom
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2009
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Asao Arai
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Strong Time Operator in Quantum Mechanics
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2009
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Asao Arai
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Necessary and Sufficient Conditions for a Hamiltonian with Discrete Eigenvalues to have Time Operators
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2008
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Asao Arai
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TIME OPERATORS OF A HAMILTONIAN WITH PURELY DISCRETE SPECTRUM
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2008
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Asao Arai
Yasumichi Matsuzawa
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Mathematical Theory of Time Operators in Quantum Physics (Non-Commutative Analysis and Micro-Macro Duality)
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2008
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Asao Arai
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On the Uniqueness of Weak Weyl Representations of the Canonical Commutation Relation
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2008
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Asao Arai
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Time Operators of a Hamiltonian with Purely Discrete Spectrum
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2008
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Asao Arai
Yasumichi Matsuzawa
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PDF
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A class of Hilbert space representations of the quantum plane and the quantum algebra Uq(sl2)
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2008
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Asao Arai
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PDF
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Construction of a Weyl Representation from a Weak Weyl Representation of the Canonical Commutation Relation
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2008
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Asao Arai
Yasumichi Matsuzawa
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PDF
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*-Hypernuclei in Phenomenological Nuclear Forces
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2008
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Asao Arai
M. Oka
Shigehiro Yasui
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PDF
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HEISENBERG OPERATORS, INVARIANT DOMAINS AND HEISENBERG EQUATIONS OF MOTION
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2007
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Asao Arai
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Representations of the Quantum Plane and the Quantum Algebra $U_{q}({\rm sl}_2)$ on $L^2(\R^d)$
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2007
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Asao Arai
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Spectrum of Time Operators
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2007
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Asao Arai
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REGULARITIES OF GROUND STATES OF QUANTUM FIELD MODELS
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2007
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Asao Arai
Masao Hirokawa
Fumio Hiroshima
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PDF
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Non-relativistic Limit of a Dirac Polaron in Relativistic Quantum Electrodynamics
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2006
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Asao Arai
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Generalized Time Operators and Decay of Quantum Dynamics(Spectral and Scattering Theory and Related Topics)
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2006
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Asao Arai
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Mathematical Analysis of a Generalized Chiral Quark Soliton Model
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2006
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Asao Arai
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PDF
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GENERALIZED WEAK WEYL RELATION AND DECAY OF QUANTUM DYNAMICS
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2005
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Asao Arai
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PDF
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Spectral properties of a Dirac operator in the chiral quark soliton model
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2005
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Asao Arai
Kunimitsu Hayashi
Itaru Sasaki
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Generalized Weak Weyl Relation and Decay of Quantum Dynamics
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2005
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Asao Arai
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Spectral analysis of a Dirac operator with a meromorphic potential
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2005
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Asao Arai
Kunimitsu Hayashi
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Existence of Enhanced Binding in Quantum Field Models (Applications of Renormalization Group Methods in Mathematical Sciences)
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2004
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Asao Arai
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Spectral analysis of a Dirac operator with a meromorphic potential
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2004
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Asao Arai
Kunimitsu Hayashi
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Regularities of ground states of quantum field models
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2004
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Asao Arai
Masao Hirokawa
Fumio Hiroshima
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Enhanced Binding in Models of Nonrelativistic Quantum Field Theory
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2003
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Asao Arai
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Enhanced Binding in a General Class of Quantum Field Models
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2003
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Asao Arai
Hiroyuki Kawano
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PDF
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NON-RELATIVISTIC LIMIT OF A DIRACâMAXWELL OPERATOR IN RELATIVISTIC QUANTUM ELECTRODYNAMICS
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2003
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Asao Arai
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Non-relativistic Limit of a Dirac particle Interacting with the Quantum Radiation Field (Trends in Infinite Dimensional Analysis and Quantum Probability)
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2002
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Asao Arai
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Scaling Limit of Relativistic Quantum Electrodynamics with Cutoffs (Applications of Renormalization Group Methods in Mathematical Sciences)
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2002
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Asao Arai
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Scaling Limit of a Dirac Particle Interacting with the Quantum Radiation Field (Spectral and Scattering Theory and Related Topics)
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2002
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Asao Arai
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Scaling Limit of aDirac Particle Interacting with the Quantum Radiation Field
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2002
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Asao Arai
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Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics
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2001
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Asao Arai
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GROUND STATE OF THE MASSLESS NELSON MODEL WITHOUT INFRARED CUTOFF IN A NON-FOCK REPRESENTATION
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2001
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Asao Arai
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STABILITY OF GROUND STATES IN SECTORS AND ITS APPLICATION TO THE WIGNERâWEISSKOPF MODEL
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2001
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Asao Arai
Masao Hirokawa
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PDF
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Instability in the Spectral and the Fredholm Properties of an Infinite Dimensional Dirac Operator on the Abstract Boson-Fermion Fock Space
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2001
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Asao Arai
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Infinite-Dimensional Analysis and Analytic Number Theory
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2001
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Asao Arai
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Ground state of the massless Nelson model without infrared cutoff in a non-Fock representation
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2000
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Asao Arai
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GROUND STATES OF A GENERAL CLASS OF QUANTUM FIELD HAMILTONIANS
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2000
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Asao Arai
Masao Hirokawa
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Essential Spectrum of a Self-Adjoint Operator on an Abstract Hilbert Space of Fock Type and Applications to Quantum Field Hamiltonians
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2000
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Asao Arai
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Mathematical Analysis of a Model in Relativistic Quantum Electrodynamics (Applications of Renormalization Group Methods in Mathematical Sciences)
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2000
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Asao Arai
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Infinite-Dimensional Analysis and Analytic Number Theory Dedicated to Professor Takeyuki Hida on the occasion of his 70th birthday
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2000
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Asao Arai
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On Arithmetic Quantum Field Theory
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2000
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Asao Arai
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On the Absence of Eigenvectors of Hamiltonians in a Class of Massless Quantum Field Models without Infrared Cutoff
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1999
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Asao Arai
Masao Hirokawa
Fumio Hiroshima
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A Class of Dirac-Type Operators on the Abstract Boson-Fermion Fock Space and Their Strong Anticommutativity (Development of Infinite-Dimensional Noncommutative Analysis)
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1999
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Asao Arai
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Fundamental properties of the Hamiltonian of a Dirac particle coupled to the quantized radiation field
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1999
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Asao Arai
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Infinite dimensional analysis and analytic number theory
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1999
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Asao Arai
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Strong anticommutativity of dirac operators on bosonâfermion fock spaces and representations of a supersymmetry algebra
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1999
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Asao Arai
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A Class of Dirac-Type Operators on the Abstract Boson-Fermion Fock Space and Their Strong Anticom mutativity
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1999
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Asao Arai
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On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
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1998
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Asao Arai
Masao Hirokawa
Fumio Hiroshima
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Perturbation Problem of Embedded Eigenvalues in Quantum Field Models and Representations of Canonical Commutation Relations(Recent Trends in Infinite Dimensional Non- Commutative Analysis)
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1998
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Asao Arai
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On the Existence and Uniqueness of Ground States of a Generalized Spin-Boson Model
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1997
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Asao Arai
Masao Hirokawa
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Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials canonical commutation relations, quantum algebras, and reduction to lattice quantum systems
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1997
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Asao Arai
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None
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1997
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Asao Arai
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A Class of Representations of the *-Algebra of the Canonical Commutation Relations over a Hilbert Space and Instability of Embedded Eigenvalues in Quantum Field Models
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1997
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Asao Arai
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On the existence and uniqueness of ground states of a generalized spin$B!>(Bboson model
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1996
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Asao Arai
Masao Hirokawa
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A class of representations of the *$B!>(Balgebra of the canonical commutation relations over a Hilbert space and instability of embedded eigenvalues in quantum field models
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1996
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Asao Arai
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Trace Formulas, a GoldenâThompson Inequality and Classical Limit in Boson Fock Space
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1996
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Asao Arai
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PDF
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Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed d'Alembertians and the external field problem in quantum field theory
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1996
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Asao Arai
Norio TOMINAGA
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Factorization of self$B!>(Badjoint operators by abstract Dirac operators and its application to second quantizations on Boson Fermion Fock spaces
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1995
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Asao Arai
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Canonical commutation relations, the Weierstrass Zetafunction, and infinite dimensional Hilbert space representations of the quantum group Uq (sl2)
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1995
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Asao Arai
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Representation of canonical commutation relations in a gauge theory, the Aharonov$B!>(BBohm effect, and Dirac Weyl operator
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1995
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Asao Arai
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TRACE FORMULAS IN BOSON FOCK SPACES AND APPLICATIONS(Analysis of Operators on Gaussian Space and Quantum Probability Theory)
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1995
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Asao Arai
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Gauge theory on a non-simply connected domain and representations of canonical commutation relations
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1995
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Asao Arai
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Scaling limit of anticommuting self-adjoint operators and applications to Dirac operators
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1995
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Asao Arai
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Strong coupling limit of the zero-energy-state density of the Dirac-Weyl operator with a singular vector potential
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1995
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Asao Arai
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PDF
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Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space
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1995
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Asao Arai
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Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed d'Alembertians and the external field problem in quantum field theory
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1995
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Asao Arai
Norio TOMINAGA
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Representation of Canonical Commutation Relations in a Gauge Theory, the Aharonov-Bohm Effect, and the Dirac-Weyl Operator
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1995
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Asao Arai
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Operator-theoretical analysis of representation of a supersymmetry algebra in Hilbert space
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1994
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Asao Arai
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Gauge theory on a non-simply-connected domain and representations of canonical commutation relations
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1994
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Asao Arai
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Trace Formulas, a Golden-Thompson Inequality and Classicallimit in Boson Fock Space
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1994
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Asao Arai
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PDF
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On self-adjointness of Dirac operators in Boson-Fermion Fock spaces
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1994
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Asao Arai
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Infinite Dimensional Analysis on an Exterior Bundle and Supersymmetric Quantum Field Theory
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1994
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Asao Arai
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Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications
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1993
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Asao Arai
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Seeding limit of anticommuting self-adjoint operators and nonrelativistic limit of Dirac operators
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1993
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Asao Arai
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On self-adjointness of Dirac operators in Boson-Fermion Fock spaces
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1993
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Asao Arai
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Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory
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1993
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Asao Arai
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Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications
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1993
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Asao Arai
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Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators
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1993
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Asao Arai
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Properties of the DiracâWeyl operator with a strongly singular gauge potentiala)
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1993
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Asao Arai
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Comparison and Nuclearity of Spaces of Differential Forms on Topological Vector Spaces
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1993
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Asao Arai
Itaru Mitoma
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Supersymmetric Extension of Quantum Scalar Field Theories
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1993
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Asao Arai
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PDF
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Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations
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1992
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Asao Arai
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Properties of the Dirac-Weyl operator with a strongly singular gauge potential
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1992
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Asao Arai
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Dirac operators in BosonâFermion Fock spaces and supersymmetrie quantum field theory
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1992
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Asao Arai
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Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations
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1992
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Asao Arai
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An abstract sum formula and its applications to special functions
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1992
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Asao Arai
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Comparison and nuclearity of spaces of differential forms on topological vector spaces
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1991
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Asao Arai
Itaru Mitoma
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PDF
Chat
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Meromorphic <i>N</i>=2 WessâZumino supersymmetric quantum mechanics
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1991
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Asao Arai
Osamu Ogurisu
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PDF
Chat
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A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory
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1991
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Asao Arai
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Commutation properties of the partial isometries associated with anticommuting selfâadjoint operators
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1991
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Asao Arai
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De Rham-Hodge-Kodaire decomposition in ?-dimensions
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1991
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Asao Arai
Itaru Mitoma
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PDF
Chat
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An asymptotic analysis and its application to the nonrelativistic limit of the PauliâFierz and a spin-boson model
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1990
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Asao Arai
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A general class of (essentially) iso-spectral perturbations
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1990
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Asao Arai
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PDF
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Perturbation of embedded eigenvalues : A general class of exactly soluble models in Fock spaces
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1990
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Asao Arai
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A criterion for the boundedness from below with a class of symmetric operators and its applications
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1990
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Asao Arai
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Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons
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1989
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Asao Arai
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Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics
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1989
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Asao Arai
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Path integral representation of the index of KĂ€hler-Dirac operators on an infinite dimensional manifold
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1989
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Asao Arai
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On dimensional reduction of functional measures
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1988
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Asao Arai
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Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces
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1987
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Asao Arai
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Path Integral Representation of the Index of Kahler-Dirac Operators on an Infinite Dimensional Manifold
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1987
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Asao Arai
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Some remarks on scattering theory in supersymmetric quantum systems
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1987
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Asao Arai
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On uniqueness theorem concerning the renormalized Schwinger-Dyson equations of first order
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1986
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Asao Arai
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Supersymmetry and singular perturbations
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1985
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Asao Arai
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