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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 3, Pages 447–459
DOI: https://doi.org/10.4213/tmf160 (Mi tmf160) 		 
This article is cited in 17 scientific papers (total in 17 papers)

The Spectrum of the Two-Dimensional Periodic Schrödinger Operator

L. I. Danilov

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences
Full-text PDF (273 kB) Citations (17)
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DOI: https://doi.org/10.4213/tmf160
Abstract: The absence of eigenvalues (of infinite multiplicity) for the two-dimensional periodic Schrödinger operator with a variable metric is proved. The method of proof does not use the change of variables reducing the metric to a scalar form.
Keywords: Schrödinger operator, spectrum, periodic electric potential, periodic magnetic potential, variable metric.
Received: 10.01.2002
Revised: 13.06.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 3, Pages 392–403
DOI: https://doi.org/10.1023/A:1022605623235
Bibliographic databases:
Language: Russian
Citation: L. I. Danilov, “The Spectrum of the Two-Dimensional Periodic Schrödinger Operator”, TMF, 134:3 (2003), 447–459; Theoret. and Math. Phys., 134:3 (2003), 392–403
Citation in format AMSBIB
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    • This publication is cited in the following 17 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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