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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 2, Pages 196–205
DOI: https://doi.org/10.4213/tmf424 (Mi tmf424) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Schrödinger operator eigenvalue (resonance) on a zone boundary

Yu. P. Chuburin

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences
Full-text PDF (219 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf424
Abstract: For a Schrödinger operator with a periodic potential perturbed by a function periodic with respect to two variables and tending to zero with respect to the third variable, conditions are found under which a level (eigenvalue or resonance) falls on a zone boundary. The passage of the level through the boundary under variation of the perturbation magnitude is discussed.
Received: 17.01.2000
Revised: 18.08.2000
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 2, Pages 161–168
DOI: https://doi.org/10.1023/A:1005287525569
Bibliographic databases:
Language: Russian
Citation: Yu. P. Chuburin, “Schrödinger operator eigenvalue (resonance) on a zone boundary”, TMF, 126:2 (2001), 196–205; Theoret. and Math. Phys., 126:2 (2001), 161–168
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\vol 126
\issue 2
\pages 161--168
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  • https://www.mathnet.ru/eng/tmf/v126/i2/p196
    • This publication is cited in the following 6 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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