Spectral Analysis of N-Body Schrodinger Operators

Peter Perry, Israel Michael Sigal, Barry Simon

Type: Article

Publication Date: 1981-11-01

Citations: 226

DOI: https://doi.org/10.2307/1971301

View Publication

Locations

Annals of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Spectral analysis of $N$-body Schrödinger operators at two-cluster thresholds	2023	Erik Skibsted Xue Ping Wang
+	On the spectral properties of Hamiltonians without conservation of the particle number	2002	Israel Michael Sigal Avy Soffer Lech Zieliński
+	On the spectral analysis of many-body systems	2009	Mondher Damak Vladimir Georgescu
+	Topics on Schrodinger Operators	2016	Chi Shing Sidney Tsang
+	Spectral Theory of N-Body Hamiltonians	1996	Werner O. Amrein Anne Boutet de Monvel Vladimir Georgescu
+	Spectral Theory of N-Body Hamiltonians	1996	Werner O. Amrein Anne Boutet de Monvel V. Georgescu
+	The quantum N-body problem	2000	Walter Hunziker Israel Michael Sigal
+ PDF Chat	On the spectral analysis of many-body systems	2010	Mondher Damak Vladimir Georgescu
+ PDF Chat	Rellich’s theorem and N-body Schrödinger operators	2016	Kenichi Ito Erik Skibsted
+	Spectral Properties of the Two-Dimensional Laplacian with a Finite Number of Point Interactions	1997	Takaomi Shigehara Hiroshi Mizoguchi Tomokazu Mishima Taksu Cheon
+	Spectral analysis of a two body problem with zero-range perturbation	2008	Michele Correggi Gianfausto Dell’Antonio Domenico Finco
+	A Remark on Continuum Eigenfunctions of N-Body Schrödinger Operators	1984	Peter Perry
+	Scattering Spaces and a Decomposition of Continuous Spectral Subspace	1999	Hitoshi Kitada
+	On quantum integrability and Hamiltonians with pure point spectrum	2004	Alberto Enciso Daniel Peralta‐Salas
+	Lecture 13: The N-Body Quantum System: Spectral Structure and Scattering	2016	Gianfausto Dell’Antonio
+	Schrö'dinger Operators The Quantum Mechanical Many-Body Problem	1992	Erik Balslev
+	N-body problem with contact interactions	2017	Gianfausto Dell’Antonio
+	New methods in spectral theory of $N$-body Schrödinger operators	2018	Tadayoshi Adachi Kyohei Itakura Kenichi Ito Erik Skibsted
+	The structure of the continuous spectrum of a one-dimensional Schrödinger operator with point interactions	1996	Vladimir Mikhailets
+	Singular continuous spectrum of one-dimensional Schr\"odinger operator with point interactions on a sparse set	2010	Vladimir Lotoreichik

Works That Cite This (221)

Action	Title	Year	Authors
+	Classical Action and Quantum N-Body Asymptotic Completeness	1997	Gian Michele Graf Daniel Schenker
+	AN ABSTRACT RADIATION CONDITION AND APPLICATIONS TO N-BODY SYSTEMS	2000	Jacob Schach Møller
+	Free channel fourier transform in the long-rangen-body problem	1995	Ira Herbst Erik Skibsted
+	Spectral theory of some matrix differential operators of mixed order	1998	A. Yu. Konstantinov
+	Semiclassical resolvent estimates for the barrier top energy	1991	Shu Nakamura Ch. Gérard
+	Geometric parametrices and the many-body Birman-Schwinger principle	1983	Israel Michael Sigal
+	Limiting Absorption Principle for Stratified Operators with Thresholds: A General Method	2003	B. Vaĭnberg Marc Durand
+	Non-linear wave and Schrödinger equations	1993	Israel Michael Sigal
+	Scattering properties for a pair of Schrödinger type operators on cylindrical domains	2006	Michael Melgaard
+	Spectral Analysis of Nonrelativistic Quantum Electrodynamics	2001	Volker Bach

Works Cited by This (20)

Action	Title	Year	Authors
+	Pointwise bounds on eigenfunctions and wave packets inN-body quantum systems	1981	René Carmona Barry Simon
+	Commutation Properties of Hilbert Space Operators and Related Topics	1967	C. R. Putnam
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	The quantum mechanical virial theorem and the absence of positive energy bound states of Schrödinger operators	1975	Hubert Kalf
+	Description of the spectrum of the energy operator of quantum-mechanical systems that is invariant with respect to permutations of identical particles	1970	A. Sigalov Israel Michael Sigal
+ PDF Chat	Asymptotic completeness for classes of two, three, and four particle Schrödinger operators	1980	George A. Hagedorn
+ PDF Chat	Absence of singular continuous spectrum for certain self-adjoint operators	1981	E. Mourre
+	ON THE POINT SPECTRUM IN THE QUANTUM-MECHANICAL MANY-BODY PROBLEM	1976	D R Jafaev
+ PDF Chat	The virial theorem and its application to the spectral theory of Schrödinger operators	1967	Joachim Weidmann
+	Pointwise bounds on eigenfunctions and wave packets inN-body quantum systems IV	1978	Percy Deift Walter Hunziker Barry Simon E. Vock