Email this article Spectrum and a Trace Formula for a Compactly Supported Perturbation of the 2D Harmonic Oscillator in a Strip
- Authors: Fazullin Z.Y.1, Nugaeva I.G.1
-
Affiliations:
- Bashkir State University
- Issue: Vol 55, No 5 (2019)
- Pages: 677-687
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155022
- DOI: https://doi.org/10.1134/S0012266119050094
- ID: 155022
Cite item
Open Access
Access granted
Subscription Access
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.
About the authors
Z. Yu. Fazullin
Bashkir State University
Author for correspondence.
Email: fazullinzu@mail.ru
Russian Federation, Ufa, Bashkortostan, 450076
I. G. Nugaeva
Bashkir State University
Author for correspondence.
Email: nuga-irina@yandex.ru
Russian Federation, Ufa, Bashkortostan, 450076
Supplementary files
