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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 138, Number 1, Pages 41–54
DOI: https://doi.org/10.4213/tmf7 (Mi tmf7) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Local Perturbations of the Schrödinger Operator on the Plane

R. R. Gadyl'shin

Bashkir State Pedagogical University
Full-text PDF (261 kB) Citations (14)
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DOI: https://doi.org/10.4213/tmf7
Abstract: We obtain necessary and sufficient conditions for the appearance of a small eigenvalue of the Schrödinger operator on the plane under local operatorial excitations. In the case where the small eigenvalue exists, we construct its asymptotic behavior. We present examples.
Keywords: Schrödinger operator, perturbation, small parameter, eigenvalue, asymptotic behavior.
Received: 31.07.2002
Revised: 19.03.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 138, Issue 1, Pages 33–44
DOI: https://doi.org/10.1023/B:TAMP.0000010631.40891.f0
Bibliographic databases:
Language: Russian
Citation: R. R. Gadyl'shin, “Local Perturbations of the Schrödinger Operator on the Plane”, TMF, 138:1 (2004), 41–54; Theoret. and Math. Phys., 138:1 (2004), 33–44
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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