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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… Click to show full abstract

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.

Keywords: oscillator strip; harmonic oscillator; supported perturbation; trace formula; compactly supported; formula compactly

Journal Title: Differential Equations
Year Published: 2019

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