The eigenvalue gap for one-dimensional Schrödinger operators with symmetric potentials
Published online by Cambridge University Press: 25 March 2009
Abstract
We consider the eigenvalue gap for Schrödinger operators on an interval with Dirichlet or Neumann boundary conditions. For a class of symmetric potentials, we prove that the gap between the two lowest eigenvalues is maximized when the potential is constant. We also give some related results for doubly symmetric potentials.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 2 , April 2009 , pp. 359 - 366
- Copyright
- Copyright © Royal Society of Edinburgh 2009
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