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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The eigenvalue gap for one-dimensional convex potentials


Author: Richard Lavine
Journal: Proc. Amer. Math. Soc. 121 (1994), 815-821
MSC: Primary 35P15; Secondary 34L40, 35J10, 81Q10
MathSciNet review: 1185270
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1185270-4
PII: S 0002-9939(1994)1185270-4
Keywords: Schrödinger operator, eigenvalue gap
Article copyright: © Copyright 1994 American Mathematical Society