Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States

Rupert L. Frank, Barry Simon, Timo Weidl

Type: Article

Publication Date: 2008-03-13

Citations: 29

DOI: https://doi.org/10.1007/s00220-008-0453-1

View Publication

Download PDF

Locations

Communications in Mathematical Physics - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
CaltechAUTHORS (California Institute of Technology) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Lieb—Thirring type bounds for perturbed Schrödinger operators with single-well potentials	2023	Larry Read
+	Lieb-Thirring type bounds for perturbed Schrödinger operators with single-well potentials	2022	Larry Read
+	Lieb-Thirring type inequalities for non self-adjoint perturbations of magnetic Schrödinger operators	2013	Diomba Sambou
+ PDF Chat	Lieb-Thirring type inequalities for non self-adjoint perturbations of magnetic Schrödinger operators	2013	Diomba Sambou
+ PDF Chat	Eigenvalue Estimates for Schrödinger Operators with Complex Potentials	2009	Ари Лаптев Oleg Safronov
+	Critical Lieb-Thirring bounds for one-dimensional Schrodinger operators and Jacobi matrices with regular ground states	2007	Barry Simon
+	Lieb–Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators	2014	Diomba Sambou
+	Eigenvalue correction estimates for the one-dimensional Schrödinger equation	1980	James D. Talman
+	Eigenvalues of Schrödinger operators	2006
+	Eigenvalues of Schrödinger operators	2006
+ PDF Chat	Lieb–Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices	2017	Jacob S. Christiansen Maxim Zinchenko
+ PDF Chat	Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices	2007	Dirk Hundertmark Barry Simon
+	On complex perturbations of infinite band Schrodinger operators	2015	Leonid Golinskiĭ Stanislas Kupin
+	Eigenvalue bounds for Schrödinger operators with complex potentials. III	2016	Rupert L. Frank
+	Eigenvalue bounds for Schrödinger operators with complex potentials. III	2015	Rupert L. Frank Barry Simon
+	Lower bounds to eigenvalues of the Schrödinger equation	2011	Timothy M. Wilson
+ PDF Chat	Upper and Lower Bounds for Rayleigh-Schrödinger Perturbation Energies	1970	K. M. Sando Joseph O. Hirschfelder
+	Complementary tight upper and lower bounds to eigenvalues of the schrodinger equation	1983	Francisco M. Fernández Alejandro Mesón E. A. Castro
+	Quantitative bounds on the discrete spectrum of non self-adjoint quantum magnetic Hamiltonians	2014	Diomba Sambou
+	Spectral non-self-adjoint analysis of complex Dirac, Pauli and Schrödinger operators of full rank with constant magnetic fields	2014	Diomba Sambou

Works That Cite This (29)

Action	Title	Year	Authors
+	Non-linear ground state representations and sharp Hardy inequalities	2008	Rupert L. Frank Robert Seiringer
+ PDF Chat	Geometric extensions of many-particle Hardy inequalities	2015	Douglas Lundholm
+ PDF Chat	Generalized Solutions and Spectrum for Dirichlet Forms on Graphs	2011	Sebastian Haeseler Matthias Keller
+ PDF Chat	Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices	2007	Dirk Hundertmark Barry Simon
+	Eigenvalue estimates for Schrödinger operators on metric trees	2011	Tomas Ekholm Rupert L. Frank Hynek Kovařík
+ PDF Chat	Lieb–Thirring inequalities for complex finite gap Jacobi matrices	2017	Jacob S. Christiansen Maxim Zinchenko
+ PDF Chat	Asymptotics and analytic modes for the wave equation in similarity coordinates	2009	Roland Donninger
+	Finite gap Jacobi matrices: An announcement	2009	Jacob S. Christiansen Barry Simon Maxim Zinchenko
+	Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory	2014	Rupert L. Frank Daniel Lenz Daniel Wingert
+ PDF Chat	Eigenvalue asymptotic of Robin Laplace operators on two-dimensional domains with cusps	2010	Hynek Kovařík

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points	2001	Franz Peherstorfer Peter Yuditskii
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	<i>Quantum Physics: A Functional Integral Point of View</i>	1982	J. Gllmm Arthur Jaffe Frank Wilczek
+ PDF Chat	Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices	2007	Dirk Hundertmark Barry Simon
+	Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators	2007	Rupert L. Frank Élliott H. Lieb Robert Seiringer
+ PDF Chat	Perturbations of orthogonal polynomials with periodic recursion coefficients	2010	David Damanik Rowan Killip Barry Simon
+	On Schrödinger's factorization method for Sturm-Liouville operators	1978	Upke-Walther Schmincke
+	On Lieb-Thirring Inequalities for Schrödinger Operators with Virtual Level	2006	Tobias Ekholm Rupert L. Frank
+	Lieb–Thirring Inequalities for Jacobi Matrices	2002	Dirk Hundertmark Barry Simon
+	Comparison theorems for the gap of Schrödinger òperators	1987	Werner Kirsch Barry Simon