The eigenvalue gap for one-dimensional convex potentials

Lavine, Richard

doi:10.1090/S0002-9939-1994-1185270-4

The eigenvalue gap for one-dimensional convex potentials
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by Richard Lavine

Proc. Amer. Math. Soc. 121 (1994), 815-821

DOI: https://doi.org/10.1090/S0002-9939-1994-1185270-4

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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.

References

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