Solution of the Schrödinger torsion equation in the basis set of Mathieu functions: verification by numerical experiment | Zendy

А. Н. Белов | Zendy; В. В. Туровцев | Zendy; Yu A Fedina | Zendy; Yu. D. Orlov | Zendy

Open Access

Solution of the Schrödinger torsion equation in the basis set of Mathieu functions: verification by numerical experiment

Author(s) -

А. Н. Белов,

В. В. Туровцев,

Yu A Fedina,

Yu. D. Orlov

Publication year - 2021

Publication title -

journal of physics conference series

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 85

eISSN - 1742-6596

pISSN - 1742-6588

DOI - 10.1088/1742-6596/2052/1/012004

Subject(s) - mathieu function , torsion (gastropod) , basis (linear algebra) , schrödinger equation , mathematics , basis set , basis function , plane wave , mathematical analysis , physics , geometry , quantum mechanics , medicine , surgery , molecule

The efficiency of the algorithm for the numerical solution of the Schrödinger torsion equation in the basis of Mathieu functions has been considered. The computational stability of the proposed algorithm is shown. The energies of torsion transitions determined in the basis sets of plane waves and Mathieu functions have been compared with the results of spectroscopy. A conclusion about the applicability of the algorithm using the basis set of Mathieu functions to the solution of the Schrödinger equation with a periodic potential has been derived.

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