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Decay law for a quasistationary state of the Schrödinger operator for a crystal film
Authors:Yu. P. Chuburin
Affiliation:(1) Physical-Technical Institute, Ural Branch, RAS, Izhevsk, Russia
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:Schr?dinger operator  resonance  crystal film
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