Regularized trace of a~two-dimensional harmonic oscillator
Sbornik. Mathematics, Tome 192 (2001) no. 5, pp. 725-761

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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.
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Z. Yu. Fazullin; Kh. Kh. Murtazin. Regularized trace of a~two-dimensional harmonic oscillator. Sbornik. Mathematics, Tome 192 (2001) no. 5, pp. 725-761. http://geodesic.mathdoc.fr/item/SM_2001_192_5_a4/