Spectrum of a Perturbed Harmonic Oscillator

Authors

K. Dosmagulova, Department of Mathematics, Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan\\ Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, 9000, Ghent, BelgiumFollow
B. Kanguzhin, Department of Mathematics, Al-Farabi Kazakh National University, 050040, Almaty, KazakhstanFollow
Z. Fazullin, Physical and Mathematical Department, Bashkir State University, 450076, Ufa, RussiaFollow

Author Country (or Countries)

Belgium

Abstract

In this article the spectrum of a perturbed harmonic oscillator is calculated. New correctly solvable boundary value problems are used for the corresponding harmonic oscillator on a two-dimensional punctured sphere. The eigenfunctions of the harmonic oscillator are studied in detail and a set of elements from the obtained functionals is introduced.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170403

Recommended Citation

Dosmagulova, K.; Kanguzhin, B.; and Fazullin, Z. (2023) "Spectrum of a Perturbed Harmonic Oscillator," Applied Mathematics & Information Sciences: Vol. 17: Iss. 4, Article 3.
DOI: http://dx.doi.org/10.18576/amis/170403
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss4/3