The Eigenvalue Gap for One-Dimensional Convex Potentials
Author:
- Richard LavineRLRichard Lavine
Open Access
- 1 July 1994
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 121 (3) , 815-821
Abstract
For Schrödinger operators on an interval with convex potentials, the gap between the two lowest eigenvalues is minimized when the potential is constant.Keywords
This publication has 2 references indexed in Scilit:
- Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well PotentialsProceedings of the American Mathematical Society, 1989
- Lower Bounds of the Gap Between the First and Second Eigenvalues of the Schrodinger OperatorTransactions of the American Mathematical Society, 1986