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Mathematics › Mathematical Physics

Spectral Theory in Mathematical Physics

Works Count: 49966

Description

This cluster of papers focuses on the spectral theory and properties of differential operators, particularly Schrödinger operators, on various structures such as quantum graphs and thin manifolds. It explores topics such as localization, inverse spectral problems, Anderson localization, scattering theory, and Weyl–Titchmarsh theory. The papers also delve into eigenvalue estimates and applications to quantum chaos and universal spectral statistics.

Keywords

Spectral Theory; Differential Operators; Quantum Graphs; Localization; Schrödinger Operators; Inverse Spectral Problems; Anderson Localization; Scattering Theory; Weyl–Titchmarsh Theory; Eigenvalue Estimates

Most Cited Works

Action Title Date Authors
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A Lower Bound for the Smallest Eigenvalue of the Laplacian 2015-04-11 Jeff Cheeger
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Elliptic Partial Differential Equations of Second Order 1997-01-01 Piero Bassanini Alan R. Elcrat
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Curvature and the eigenvalues of the Laplacian 1967-01-01 H. P. McKean I. M. Singer
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Asymptotic invariants of infinite groups 1993-01-01 Mikhael Gromov Graham A. Niblo Martin A. Roller
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Dirichlet Forms and Symmetric Markov Processes 2010-12-13 Masatoshi Fukushima Yôichi Ôshima Masayoshi Takeda
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One-parameter Semigroups of Positive Operators 1986-01-01 Wolfgang Arendt Annette Grabosch Günther Greiner Ulrich Moustakas Rainer Nagel Ulf Schlotterbeck Ulrich Groh Heinrich P. Lotz Frank Neubrander
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The Boundary Value Problems of Mathematical Physics 1985-01-01 O. A. Ladyzhenskaya
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Introduction to the Theory of (Non-Symmetric) Dirichlet Forms 1992-01-01 Zhi-Ming Ma Michael Röckner
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Spectral Theory and Differential Operators 2018-05-23 D. E. Edmunds Des Evans
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Sturm-Liouville Operators and Applications 1986-01-01 V. А. Marchenko
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Perturbation Theory for Linear Operators 1995-01-01 Tosio Kato
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Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space 1969-12-31 Israel Gohberg M. Г. Крейн
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Methods of Modern Mathematical Physics 1972-01-01 Michael C. Reed Barry Simon
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Trace Ideals and Their Applications 2010-03-17 Barry Simon
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Introduction to Pseudodifferential and Fourier Integral Operators 1980-01-01 François Trèves
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Inverse Sturm-Liouville Problems 1987-12-31 B. M. Levitan
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One-parameter semigroups for linear evolution equations 2001-06-01 Klaus‐Jochen Engel Rainer Nagel
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The Rotation of Eigenvectors by a Perturbation. III 1970-03-01 Chandler Davis W. Kahan
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The Yamabe problem 1987-01-01 John M. Lee Thomas H. Parker
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Theory of Complex Spectra. IV 1949-11-01 Giulio Racah
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<i>The Kondo Problem of Heavy Fermions</i> 1994-03-01 A. C. Hewson Piers Coleman
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Existence of Long-Range Order in One and Two Dimensions 1967-06-10 P. C. Hohenberg
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Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields 1975-10-01 A. Polyakov
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Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions 1971-12-01 Erik Balslev J. M. Combes
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Localization Problem in One Dimension: Mapping and Escape 1983-06-06 Mahito Kohmoto Leo P. Kadanoff Chao Tang
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The uncertainty principle: A mathematical survey 1997-05-01 Gerald B. Folland Alladi Sitaram
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Estimates for translation invariant operators in Lp spaces 1960-01-01 Lars Hörmander
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On the generators of quantum dynamical semigroups 1976-06-01 Göran Lindblad
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On majorization, factorization, and range inclusion of operators on Hilbert space 1966-04-01 R. G. Douglas
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Pseudodifferential Operators and Spectral Theory 1987-01-01 Mikhail Shubin
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Minimax Methods in Critical Point Theory with Applications to Differential Equations 1986-07-01 P. Rabinowitz
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DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES 1967-04-30 V A Marčenko L. А. Pastur
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Heat Kernels and Dirac Operators 1992-01-01 Nicole Berline Ezra Getzler Michèle Vergne
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A class of analytic perturbations for one-body Schrödinger Hamiltonians 1971-12-01 José Edgar Madriz Aguilar J. M. Combes
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Differential-difference operators associated to reflection groups 1989-01-01 Charles F. Dunkl
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Symmetric informationally complete quantum measurements 2004-05-07 Joseph M. Renes Robin Blume-Kohout A.J. Scott Carlton M. Caves
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Analysis of feedback systems with structured uncertainties 1982-11-01 John C. Doyle
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The statistical mechanics of polymers with excluded volume 1965-04-01 S. F. Edwards
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Treatise on the Shift Operator 1986-01-01 Н. К. Никольский
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The Resolving Power of Gross Earth Data 1968-10-01 George Backus Freeman Gilbert
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Inverse Problem for a Curved Quantum Guide 1965-01-01 Laure Cardoulis Michel Cristofol
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The Index of Elliptic Operators: I 1968-05-01 Michael Atiyah I. M. Singer
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Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations 1996-12-31 Thomas Runst Winfried Sickel
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Operator theory: Advances and applications 1991-01-01
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The Hartree-Fock Method for Atoms 1979-05-01 Jack Simons
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Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series 1956-09-01 Atle Selberg
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Unpaired Majorana fermions in quantum wires 2001-10-01 Alexei Kitaev
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Spectral Theory of Self-Adjoint Operators in Hilbert Space 1987-01-01 M. Sh. Birman M. Z. Solomjak
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Dirichlet Forms and Symmetric Markov Processes 1994-12-31 Masatoshi Fukushima Yôichi Ôshima Masayoshi Takeda
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Analyse Harmonique Non-Commutative sur Certains Espaces Homogenes 1971-01-01 Ronald R. Coifman Guido Weiss

Most Recent Works

Action Title Date Authors
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On Sharp Anisotropic Hardy Inequalities 2025-04-30 Xia Huang Dong Ye
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POSITIVE SOLUTIONS OF DISCRETE FRACTIONAL STURM–LIOUVILLE PROBLEMS 2025-05-01 Jagan Mohan Jonnalagadda Anita Tomar
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Large-Momentum Effective Theory vs. Short-Distance Operator Expansion Contrastand Complementarity 2025-04-30 Xiangdong Ji
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Periodic Orbits on 2-Regular Circulant Digraphs 2025-05-01 Isaac Echols J M Harrison Tori Hudgins
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Diederich–Fornæss index and global regularity in the \overline{∂}–Neumann problem: domains with comparable Levi eigenvalues 2025-05-01 Bingyuan Liu Emil J. Straube
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Boundary Blowing Up Solutions for an Elliptic Neumann Problem with Nearly Critical Exponent 2025-05-01 Rakan Almushahhin Mohamed Ben Ayed
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Two fundamental solutions to the rigid Kochen-Specker set problem and the solution to the minimal Kochen-Specker set problem under one assumption 2025-05-02 Stefan Trandafir Adán Cabello
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Existence and nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsäcker model on lattice graph 2025-05-02 Yong Liu Jun Wang Kun Wang Wen Yang Yanni Zhu
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Characterizations of self-adjoint operators through identities involving their modulus, real and imaginary parts 2025-05-02 Mohammed Hichem Mortad
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An upper bound on the maximal function of Schrödinger operator 2025-05-02 Junfeng Li Ankang Yu
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Almost Backward Shift Invariance of Kernels of Perturbed Toeplitz and Hankel Operators 2025-05-02 Caixing Gu
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Global Well‐Posedness for a Coupled Generalized KdV‐KdV System in Modulation Spaces and a Scattering Criterion in a Sobolev Space 2025-05-02 Shanshan Zheng Li Yang Qihe Niang
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Existence of Normalized Solutions of a Hartree–Fock System With Mass Subcritical Growth 2025-05-02 Hua Jin Y. Austin Chang Marco Squassina Jianjun Zhang
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Characterization and Behavior of Multi-Peak Solutions for the Schrödinger-Poisson System 2025-05-03 Qingjie Guo Shixin Wen Jianghua Ye
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A Counterexample Regarding a Two-phase Problem for Harmonic Measure in VMO 2025-05-03 Xavier Tolsa
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Minimizing Schrödinger eigenvalues for confining potentials 2025-05-03 Rupert L. Frank
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New partial trace inequalities and distillability of Werner states 2025-05-04 Pablo Costa Rico
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On the stability of pure point spectrum of discrete operators with long-range hopping 2025-05-01 Wenwen Jian Li Wen
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Existence and asymptotical behavior of solutions for a fractional logarithmic Schrödinger-Poisson system 2025-05-05 Jiaqi Dou Qi Gao Zhengping Wang
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Ground state solutions for the nonlinear problem involving exponential form of Born-Infeld-like 2025-05-05 Bingbing Dai Ruifeng Zhang
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Decay estimates for Nonlinear Schrödinger equation with the inverse-square potential 2025-05-01 Jialu Wang Chengbin Xu Fang Zhang
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Resolvents of Bochner Laplacians in the semiclassical limit 2025-05-05 Laurent Charles
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Propagation of moments and regularity for the Vlasov-Maxwell-Bopp-Podolsky model and its Pauli-Villars type generalizations 2025-05-05 Christophe Cheverry Slim Ibrahim
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New approach to affine Moser–Trudinger inequalities via Besov polar projection bodies 2025-05-05 Óscar Domínguez Yinqin Li Sergey Tikhonov Dachun Yang Wen Yuan
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On bound states of Schrödinger equation with vanishing magnetic potential 2025-05-05 Baihong Li Yuanhong Wei
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Semiclassical solutions for critical Schrödinger–Poisson systems involving multiple competing potentials 2025-05-04 Lingzheng Kong Haibo Chen
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The $$A_{\alpha }$$-spectral radius for $$\{P_{2}, C_{3}, P_{5}, \mathcal {T}(3)\}$$-factors in graphs 2025-05-06 Xiaoyun Lv Jianxi Li Shou‐Jun Xu
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On the first eigenvalue of the (p, q)-Laplacian and some related problems 2025-05-06 Said El Manouni Kanishka Perera Patrick Winkert
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Some product problem of Toeplitz and Hankel operators on the bidisc 2025-05-01 Yong Chen Liu Ya Jiayun Shen Qi Wu
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Large Deviations for an Obstacle Problem with T-monotone Operator and Multiplicative Noise 2025-05-06 Yassine Tahraoui
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Brownian Motion on the Star Like Quantum Graphs 2025-05-06 Stanislav Molchanov Madhumita Paul
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The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds 2025-05-06 Antônio Sá Barreto Yiran Wang
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The $H^{\infty}$-functional calculus for bisectorial Clifford operators 2025-05-06 Francesco Mantovani Peter Schlosser
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Closed-form representations of the Coulomb integral over hydrogenic orbitals 2025-05-07 Balakrishnan Viswanathan Darien DeWolf
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Some open mathematical problems concerning charged quantum particles 2025-05-07 Mathieu Lewin
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Perturbative Diagonalization and Spectral Gaps of Quasiperiodic Operators on $$\ell ^2(\mathbb Z^d)$$ with Monotone Potentials 2025-05-07 Ilya Kachkovskiy Leonid Parnovski Roman Shterenberg
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On the ground state of lattice Schrödinger operators 2025-05-07 Michal Jex František Štampach
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Composite nature of the $T_{cc}$ state 2025-05-07 Xian-Wei Kang W.X. Ding
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Spectral estimates of dynamically-defined and amenable operator families 2025-05-08 Siegfried Beckus Alberto Takase
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Global Existence and Mean-Field Limit for A Stochastic Interacting Particle System of Signed Coulomb Charges 2025-05-08 Patrick Meurs Mark A. Peletier Thomas Slangen
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The wave kernel on asymptotically complex hyperbolic manifolds 2025-05-08 Hadrian Quan
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Moment Asymptotics for the Neutron Transport Equation 2025-05-08 Éric Dumonteil Emma Horton Andreas E. Kyprianou Andrea Zoia
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Sharp semiclassical spectral asymptotics for Schrödinger operators with non-smooth potentials 2025-05-08 Søren Mikkelsen
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Linear maps compressing the set of local reduced minimum moduli 2025-05-08 Abdellatif Bourhim Mostafa Mbekhta
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Graph-theoretical approach to the eigenvalue spectrum of perturbed higher-order exceptional points 2025-05-09 Daniel Grom Julius Kullig Malte Röntgen Jan Wiersig
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Corrigendum: Euler and Pontryagin currents of the Dirac operator (2025 J. Phys. A: Math. Theor. 58 025205) 2025-05-09 Luca Fabbri
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Complex energy structures of exceptional point pairs in two level systems 2025-05-09 Jung-Wan Ryu Chui Jie Yi Jae-Ho Han
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Demonstration of collinear factorization breaking due to collinear-to-soft Glauber exchanges for a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo stretchy="false">→</mml:mo><mml:mn>3</mml:mn></mml:math> exclusive process at leading twist 2025-05-09 Saad Nabeebaccus Jakob Schoenleber L. Szymanowski S. Wallon
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Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary 2025-05-09 Duván Cardona Vishvesh Kumar Michael Ruzhansky Niyaz Tokmagambetov
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Observability of the Schrödinger equation with subquadratic confining potential in the Euclidean space 2025-05-10 Antoine Prouff