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This article is cited in 3 scientific papers (total in 3 papers)
Discrete Spectrum of the Schrodinger Operator Perturbed by a Narrowly Supported Potential
A. R. Bikmetov, D. I. Borisov Bashkir State Pedagogical University
Abstract:
We study asymptotic properties of the discrete spectrum of the Schrodinger operator perturbed by a narrowly supported potential. The first terms of the asymptotic expansions in the small parameter equal to the width of the support of the potential are constructed for the eigenvalues and the corresponding eigenfunctions.
Keywords:
Schrodinger operator, spectrum, perturbation, asymptotic expansion.
Received: 19.05.2004 Revised: 03.05.2005
Citation:
A. R. Bikmetov, D. I. Borisov, “Discrete Spectrum of the Schrodinger Operator Perturbed by a Narrowly Supported Potential”, TMF, 145:3 (2005), 372–384; Theoret. and Math. Phys., 145:3 (2005), 1691–1702
Linking options:
https://www.mathnet.ru/eng/tmf1906https://doi.org/10.4213/tmf1906 https://www.mathnet.ru/eng/tmf/v145/i3/p372
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Abstract page: | 575 | Full-text PDF : | 340 | References: | 110 | First page: | 1 |
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