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Zeitschrift für Analysis und ihre Anwendungen


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Volume 29, Issue 1, 2010, pp. 117–124
DOI: 10.4171/ZAA/1401

Published online: 2010-01-04

Some Comparison Theorems on Eigenvalues for One Dimensional Schrödinger Operators with Applications

Chie-Ping Chu[1]

(1) Soochow University, Taipei, Taiwan

For one dimensional Schrödinger operators, in terms of local behavior of the potential, we give some comparison theorems for their eigenvalues. As an application, some monotone properties of the first eigenvalue of stepfunction potentials are given.

Keywords: One dimensional Schrödinger operator, comparison theorems on eigenvalues, stepfunction potentials, monotonicity, variational methods

Chu Chie-Ping: Some Comparison Theorems on Eigenvalues for One Dimensional Schrödinger Operators with Applications. Z. Anal. Anwend. 29 (2010), 117-124. doi: 10.4171/ZAA/1401