Spectrum and a Trace Formula for a Compactly Supported Perturbation of the 2D Harmonic Oscillator in a Strip


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The spectrum of a “distorted” two-dimensional harmonic oscillator in a strip is studied. We prove a spectrum localization theorem and obtain a regularized trace formula for a compactly supported perturbation of this operator.

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Z. Fazullin

Bashkir State University

编辑信件的主要联系方式.
Email: fazullinzu@mail.ru
俄罗斯联邦, Ufa, Bashkortostan, 450076

I. Nugaeva

Bashkir State University

编辑信件的主要联系方式.
Email: nuga-irina@yandex.ru
俄罗斯联邦, Ufa, Bashkortostan, 450076

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