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Sbornik: Mathematics, 2001, Volume 192, Issue 5, Pages 725–761
DOI: https://doi.org/10.1070/SM2001v192n05ABEH000566
(Mi sm566)
 

This article is cited in 17 scientific papers (total in 17 papers)

Regularized trace of a two-dimensional harmonic oscillator

Z. Yu. Fazullin, Kh. Kh. Murtazin

Bashkir State University
References:
Abstract: The spectrum of a perturbation with compact support of a two-dimensional harmonic oscillator is investigated and the classical formula for the first regularized trace is obtained.
Received: 12.05.1999 and 14.12.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 5, Pages 87–124
DOI: https://doi.org/10.4213/sm566
Bibliographic databases:
UDC: 517.956.227
MSC: 47F05, 35J05
Language: English
Original paper language: Russian
Citation: Z. Yu. Fazullin, Kh. Kh. Murtazin, “Regularized trace of a two-dimensional harmonic oscillator”, Mat. Sb., 192:5 (2001), 87–124; Sb. Math., 192:5 (2001), 725–761
Citation in format AMSBIB
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\paper Regularized trace of a~two-dimensional harmonic oscillator
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\pages 87--124
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\pages 725--761
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Linking options:
  • https://www.mathnet.ru/eng/sm566
  • https://doi.org/10.1070/SM2001v192n05ABEH000566
  • https://www.mathnet.ru/eng/sm/v192/i5/p87
  • 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
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:941
    Russian version PDF:487
    English version PDF:11
    References:80
    First page:1
     
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