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