A bound for ratios of eigenvalues of Schrödinger operators with single-well potentials
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- by Miklós Horváth and Márton Kiss PDF
- Proc. Amer. Math. Soc. 134 (2006), 1425-1434 Request permission
Abstract:
For Schrödinger operators with nonnegative single-well potentials ratios of eigenvalues are extremal only in the case of zero potential. To prove this, we investigate some monotonicity properties of Prüfer-type variables.References
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Additional Information
- Miklós Horváth
- Affiliation: Department of Mathematical Analysis, Institute of Mathematics, Budapest University of Technology and Economics, H 1111 Budapest, Műegyetem rkp. 3-9, Hungary
- Email: horvath@math.bme.hu
- Márton Kiss
- Affiliation: Department of Mathematical Analysis, Institute of Mathematics, Budapest University of Technology and Economics, H 1111 Budapest, Műegyetem rkp. 3-9, Hungary
- Email: mkiss@math.bme.hu
- Received by editor(s): December 5, 2003
- Received by editor(s) in revised form: December 10, 2004, and December 14, 2004
- Published electronically: October 13, 2005
- Additional Notes: This research was supported by the Hungarian NSF Grants OTKA T 32374, T 37491 and T 47035
- Communicated by: Carmen C. Chicone
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 1425-1434
- MSC (2000): Primary 34L15, 34B24
- DOI: https://doi.org/10.1090/S0002-9939-05-08100-1
- MathSciNet review: 2199189