High energy eigenfunctions of one-dimensional Schrodinger operators with polynomial potentials

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dc.creatorEremenko, Alexandre
dc.creatorGabrielov, Andrei
dc.creatorShapiro, Boris
dc.date2007-03-14
dc.date.accessioned2026-07-07T09:55:27Z
dc.date.available2026-07-07T09:55:27Z
dc.descriptionFor a class of one-dimensional Schrodinger operators with polynomial potentials that includes Hermitian and PT-symmetric operators, we show that the zeros of scaled eigenfunctions have a limit disctibution in the complex plane as the eigenvalues tend to infinity. This limit distribution depends only on the degree of potential and on the boundary conditions.
dc.description22 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0703049
dc.identifierhttp://arxiv.org/abs/math-ph/0703049
dc.identifierComputational Methods and Function Theory, 8 (2008). No. 2, 513--529.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166635
dc.subjectMathematical Physics
dc.subject34B05; 34L20; 34M40; 34M60
dc.titleHigh energy eigenfunctions of one-dimensional Schrodinger operators with polynomial potentials
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