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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 2, Pages 207–218
DOI: https://doi.org/10.4213/tmf6040 (Mi tmf6040) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Some singular perturbations of periodic operators

D. I. Borisov

Bashkir State Pedagogical University
Full-text PDF (407 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf6040
Abstract: We consider two examples of singular perturbations of a periodic differential operator on the axis. The first example is a rapidly oscillating potential with compact support, and the second example is the delta potential with a small complex coupling constant. We investigate the structure and asymptotic behavior of the spectrum of the perturbed operators in detail.
Keywords: perturbation, periodic operator, spectrum, asymptotic expansion.
Received: 08.09.2006
Revised: 23.10.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 2, Pages 614–624
DOI: https://doi.org/10.1007/s11232-007-0048-6
Bibliographic databases:
Language: Russian
Citation: D. I. Borisov, “Some singular perturbations of periodic operators”, TMF, 151:2 (2007), 207–218; Theoret. and Math. Phys., 151:2 (2007), 614–624
Citation in format AMSBIB
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    • This publication is cited in the following 13 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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