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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 2, Pages 248–260
DOI: https://doi.org/10.4213/tmf6043 (Mi tmf6043) 		 
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
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DOI: https://doi.org/10.4213/tmf6043
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
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 2, Pages 648–658
DOI: https://doi.org/10.1007/s11232-007-0051-y
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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