Spectrum of a Perturbed Harmonic Oscillator

Dosmagulova K. Kanguzhin B. Fazullin Z.
2023 Natural Sciences Publishing

Applied Mathematics and Information Sciences
2023 #17 Issue 4 553 - 557 pp.

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.

Green’s functions , Harmonic oscillator , two-dimensional punctured sphere , well-posed problems

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Department of Mathematics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, 9000, Belgium
Physical and Mathematical Department, Bashkir State University, Ufa, 450076, Russian Federation

Department of Mathematics
Department of Mathematics: Analysis
Physical and Mathematical Department

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