The eigenvalue gap for one-dimensional convex potentials-Reference-Cited by-同舟云学术

The eigenvalue gap for one-dimensional convex potentials

Published:1994 Issue:3 Volume:121 Page:815-821
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lavine Richard

Abstract

For Schrödinger operators on an interval with convex potentials, the gap between the two lowest eigenvalues is minimized when the potential is constant.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-121-03/S0002-9939-1994-1185270-4/S0002-9939-1994-1185270-4.pdf

Reference6 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 lower bounds for eigenvalue gaps for Schrödinger operators with symmetric single-well potentials and related results;Ashbaugh, M. S.,1988

3. Absolute continuity of Hamiltonian operators with repulsive potential;Lavine, Richard B.;Proc. Amer. Math. Soc.,1969

4. An estimate of the gap of the first two eigenvalues in the Schrödinger operator;Singer, I. M.;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),1985

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