A bound for ratios of eigenvalues of Schrodinger operators on the real line

Miklós Horváth; Márton Kiss

doi:10.3934/proc.2005.2005.403

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2005, Volume 2005: 403-409. Doi: 10.3934/proc.2005.2005.403 open access

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A bound for ratios of eigenvalues of Schrodinger operators on the real line

Miklós Horváth^1, and
Márton Kiss^1,

1.
Department of Mathematical Analysis, Budapest University of Technology and Economics, H 1111 Budapest, Müegyetem rkp. 3-9

Received: August 31, 2004

Revised: April 30, 2005

Published: August 2005

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Abstract

We give upper estimates of ratios of eigenvalues of Schrödinger operators with nonnegative single-well potentials tending to infinity for large $|x|$, corresponding to previous estimates on a finite interval.

Keywords:

Schrodinger operator,
eigenvalues.

Mathematics Subject Classification: Primary 34L15, 34B24.

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