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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 2001 Volume 192, Number 5, Pages 87–124 (Mi sm566)
This article is cited in 17 papers

Regularized trace of a two-dimensional harmonic oscillator

Z. Yu. Fazullin, Kh. Kh. Murtazin

Bashkir State University

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.

UDC: 517.956.227

MSC: 47F05, 35J05

Received: 12.05.1999 and 14.12.2000

DOI: 10.4213/sm566


 English version: Sbornik: Mathematics, 2001, 192:5, 725–761

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© Steklov Math. Inst. of RAS, 2025