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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2022, Volume 7, Issue 3, Pages 301–311
DOI: https://doi.org/10.47475/2500-0101-2022-17304 (Mi chfmj288) 		 
Mathematics

Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip

I. G. Yandybaeva

Bashkir State University, Ufa, Russia
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DOI: https://doi.org/10.47475/2500-0101-2022-17304
Abstract: The study of the asymptotic behavior of the eigenprojector kernel is a key point in obtaining formulas for the regularized traces of bounded perturbations for discrete two-dimensional model differential operators of mathematical physics. In this paper, we consider a 2D harmonic oscillator in a strip. The stationary phase method is used to study the asymptotics of the projector kernel.
Keywords: differential operator, spectrum, operator trace, 2D harmonic oscillator, kernel, projector.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FZWU-2020-0027
The research was carried out within the framework of the state assignment of the Ministry of Science and Higher Education of the Russian Federation (scientific topic code FZWU-2020-0027).
Received: 03.07.2022
Revised: 17.08.2022
Bibliographic databases:
Document Type: Article
UDC: 517.984.5
Language: Russian
Citation: I. G. Yandybaeva, “Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip”, Chelyab. Fiz.-Mat. Zh., 7:3 (2022), 301–311
Citation in format AMSBIB
\Bibitem{Yan22}
\by I.~G.~Yandybaeva
\paper Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2022
\vol 7
\issue 3
\pages 301--311
\mathnet{http://mi.mathnet.ru/chfmj288}
\crossref{https://doi.org/10.47475/2500-0101-2022-17304}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4489424}
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