The bound state of weakly coupled Schrödinger operators in one and two dimensions

Barry Simon

Type: Article

Publication Date: 1976-04-01

Citations: 538

DOI: https://doi.org/10.1016/0003-4916(76)90038-5

View Publication

Locations

Annals of Physics - View

Similar Works

Action	Title	Year	Authors
+	Bound states for a coupled Schrödinger system	2007	Thomas Bartsch Zhi-Qiang Wang Juncheng Wei
+	On the bound state of Schrödinger operators in one dimension	1977	Martin Klaus
+	On the Number of Bound States of Two Body Schrodinger Operators — A Review	2015	Barry Simon
+	The Schrödinger Equation. Bound States	2022	Charles G. Wohl
+	Bound States of the Magnetic Schrödinger Operator	2016	Nicolas Raymond
+	The One-Dimensional Schrödinger Equation; Bound States	2024
+	Bound states of schrödinger equations with electromagnetic fields and vanishing potentials	2017	Na Ba Jinjun Dai
+	Bound states of the discrete Schrödinger equation with compactly supported potentials	2019	Tuncay Aktosun Abdon E. Choque-Rivero Vassilis G. Papanicolaou
+	Solving the Schrödinger equation for bound states	1985	P. Falkensteiner Harald Grosse Franz F. Schöberl P. Hertel
+	Positive bound states of systems of nonlinear Schrödinger equations	2009	Jifeng Chu
+	The spectral bound of Schrödinger operators	1996	Wolfgang Arendt C. J. K. Batty
+	N-Body Schrodinger Operators with Finitely Many Bound States	1990	W. D. Evans Roger T. Lewis
+	Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice	2012	S. N. Lakaev Собир Сахибжанович Улашов
+	Bound State Eigenvalues of the Schroedinger Eq. in two Spatial Variables.	2002	George Rawitscher I. Koltracht
+	The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem	1991	Élliott H. Lieb
+	The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem	1997	Élliott H. Lieb
+	The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem	2002	Élliott H. Lieb
+	The number of bound states of one-body Schroedinger operators and the Weyl problem	1980	Élliott H. Lieb
+	The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem	2001	Élliott H. Lieb
+	Bound states of the Schrödinger–Newton model in low dimensions	2010	Joachim Stubbe Marc Vuffray

Works That Cite This (424)

Action	Title	Year	Authors
+ PDF Chat	Fermi's golden rule in tunneling models with quantum waveguides perturbed by Kato class measures	2024	Sylwia Kondej Kacper Ślipko
+ PDF Chat	Weakly coupled bound states of Pauli operators	2010	Rupert L. Frank S. Morozov Semjon Vugalter
+ PDF Chat	Optimization of the lowest eigenvalue of a soft quantum ring	2021	Pavel Exner Vladimir Lotoreichik
+ PDF Chat	Resonances near thresholds in slightly twisted waveguides	2018	Vincent Bruneau Pablo Miranda Nicolas Popoff
+	Weakly coupled bound state of 2-D Schrödinger operator with potential-measure	2014	Sylwia Kondej Vladimir Lotoreichik
+ PDF Chat	Bound states of weakly deformed soft waveguides	2024	Pavel Exner Sylwia Kondej Vladimir Lotoreichik
+ PDF Chat	Discrete spectrum of the magnetic Laplacian on perturbed half‐planes	2024	Virginie Bonnaillie‐Noël Søren Fournais Ayman Kachmar Nicolas Raymond
+ PDF Chat	Sum rules for Jacobi matrices and their applications to spectral theory	2003	Rowan Killip Barry Simon
+	Stability criteria for positive semigroups on ordered Banach spaces	2024	Jochen Glück Andrii Mironchenko
+ PDF Chat	A Note on the Discrete Spectrum of Gaussian Wells (I): The Ground State Energy in One Dimension	2016	Gift Muchatibaya Silvestro Fassari Fabio Rinaldi J. Mushanyu

Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	Linear operators. Part II. Spectral theory	2003	Nelson Dunford Jacob T. Schwartz
+ PDF Chat	Notes on infinite determinants of hilbert space operators	1977	Barry Simon
+ PDF Chat	A COURSE IN MODERN ANALYSIS.	1903	Arthur S. Hathaway
+	P(0)2 Euclidean (Quantum) Field Theory	2015	Barry Simon
+	Analytic Functions of Several Complex Variables.	1968	J. W. Gray Robert C. Gunning Hugo Rossi