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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 143, Number 3, Pages 417–430
DOI: https://doi.org/10.4213/tmf1822 (Mi tmf1822) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Perturbation Theory of Resonances and Embedded Eigenvalues of the Schrodinger Operator For a Crystal Film

Yu. P. Chuburin

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences
Full-text PDF (266 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf1822
Abstract: We obtain formulas for resonances and eigenvalues embedded in the continuous spectrum that are similar to formulas in the standard perturbation theory. We prove that although the imaginary part of the first-order correction to the eigenvalue embedded in the continuous spectrum is zero, the perturbed eigenfunction, as a rule, ceases to be square-summable.
Keywords: Schrodinger operator, perturbation theory, resonance, eigenvalue.
Received: 08.09.2004
Revised: 24.01.2005
English version:
Theoretical and Mathematical Physics, 2005, Volume 143, Issue 3, Pages 836–847
DOI: https://doi.org/10.1007/s11232-005-0109-7
Bibliographic databases:
Language: Russian
Citation: Yu. P. Chuburin, “Perturbation Theory of Resonances and Embedded Eigenvalues of the Schrodinger Operator For a Crystal Film”, TMF, 143:3 (2005), 417–430; Theoret. and Math. Phys., 143:3 (2005), 836–847
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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  • https://doi.org/10.4213/tmf1822
  • https://www.mathnet.ru/eng/tmf/v143/i3/p417
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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