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TMF, 2007 Volume 151, Number 2, Pages 248–260 (Mi tmf6043)

This article is cited 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

DOI: 10.4213/tmf6043


 English version:
Theoretical and Mathematical Physics, 2007, 151:2, 648–658

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