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This article is cited in 1 scientific paper (total in 1 paper)
Decay law for a quasistationary state of the Schrödinger operator for a crystal film
Yu. P. Chuburin Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences
Abstract:
For the Schrödinger operator in a cell corresponding to a crystal film
pattern, eigenvalues may exist in the continuous spectrum and become
resonances under perturbations. We prove that the corresponding decay law in
a nonstationary approach is exponential for a nondegenerate (in some
cases, degenerate) eigenvalue.
Keywords:
Schrödinger operator, resonance, crystal film.
Received: 28.06.2006 Revised: 31.10.2006
Citation:
Yu. P. Chuburin, “Decay law for a quasistationary state of the Schrödinger operator for a crystal film”, TMF, 151:2 (2007), 248–260; Theoret. and Math. Phys., 151:2 (2007), 648–658
Linking options:
https://www.mathnet.ru/eng/tmf6043https://doi.org/10.4213/tmf6043 https://www.mathnet.ru/eng/tmf/v151/i2/p248
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Abstract page: | 446 | Full-text PDF : | 205 | References: | 58 | First page: | 1 |
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