Geodesic
Decay law for a~quasistationary state of the~Schr\"odinger operator for a~crystal film
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 2, pp. 248-260

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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. 
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     author = {Yu. P. Chuburin},
     title = {Decay law for a~quasistationary state of {the~Schr\"odinger} operator for a~crystal film},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {248--260},
     publisher = {mathdoc},
     volume = {151},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_151_2_a5/}
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Yu. P. Chuburin. Decay law for a~quasistationary state of the~Schr\"odinger operator for a~crystal film. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 2, pp. 248-260. http://geodesic.mathdoc.fr/item/TMF_2007_151_2_a5/