Differential Equations

, Volume 55, Issue 5, pp 677–687 | Cite as

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

  • Z. Yu. FazullinEmail author
  • I. G. NugaevaEmail author
Partial Differential Equations


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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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Bashkir State UniversityUfa, BashkortostanRussia

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