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The Eigenvalue Gap for One-Dimensional Convex Potentials

Richard Lavine
Proceedings of the American Mathematical Society
Vol. 121, No. 3 (Jul., 1994), pp. 815-821
DOI: 10.2307/2160281
Stable URL: http://www.jstor.org/stable/2160281
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Eigenvalue Gap for One-Dimensional Convex Potentials
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Abstract

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

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