A bound for ratios of eigenvalues of Schrödinger operators with single-well potentials-Reference-Cited by-同舟云学术

A bound for ratios of eigenvalues of Schrödinger operators with single-well potentials

Published:2005-10-13 Issue:5 Volume:134 Page:1425-1434
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Horváth Miklós,Kiss Márton

Abstract

For Schrödinger operators with nonnegative single-well potentials ratios of eigenvalues are extremal only in the case of zero potential. To prove this, we investigate some monotonicity properties of Prüfer-type variables.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-05/S0002-9939-05-08100-1/S0002-9939-05-08100-1.pdf

Reference3 articles.

1. Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schrödinger operators with symmetric single-well potentials;Ashbaugh, Mark S.;Proc. Amer. Math. Soc.,1989

2. Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials;Ashbaugh, Mark S.;Comm. Math. Phys.,1989

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