Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices

Dirk Hundertmark, Barry Simon

Type: Article

Publication Date: 2007-09-23

Citations: 20

DOI: https://doi.org/10.1016/j.jmaa.2007.08.059

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Journal of Mathematical Analysis and Applications - View
arXiv (Cornell University) - View - PDF
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+	Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant	1991	M. Sh. Birman
+	On the existence of eigenvalues of a divergence-form operator A+λB in a gap of σ(A)	1994	Stan Alama M. Avellaneda Percy Deift Rainer Hempel
+	On the Asymptotic Distribution of Eigenvalues in Gaps	1997	Rainer Hempel
+	Critical Lieb-Thirring bounds for one-dimensional Schrodinger operators and Jacobi matrices with regular ground states	2007	Barry Simon
+	Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities	2006	Élliott H. Lieb Walter Thirring
+ PDF Chat	Discrete spectrum in the gaps of a perturbed pseudorelativistic hamiltonian	2000	M. Sh. Birman A. B. Pushnitskii
+	Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter	1975	Élliott H. Lieb Walter Thirring
+ PDF Chat	Trapping and cascading of eigenvalues in the large coupling limit	1988	Fritz Gesztesy David Gurarie Helge Holden Martin Klaus Lorenzo Sadun Barry Simon P. Vogl
+	The Discrete Spectrum in the Spectral Gaps of Semibounded Operators with Non-sign-definite Perturbations	2001	Oleg Safronov
+	Eigenvalues in gaps and decoupling by Neumann boundary conditions	1992	Rainer Hempel