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

Autor:	Yu. D. Orlov, Yu A Fedina, A. N. Belov, Vladimir V. Turovtsev
Rok vydání:	2021
Předmět:	Physics History symbols.namesake Mathieu function symbols Torsion (mechanics) Basis set Schrödinger's cat Computer Science Applications Education Mathematical physics
Zdroj:	Journal of Physics: Conference Series. 2052:012004
ISSN:	1742-6596 1742-6588
DOI:	10.1088/1742-6596/2052/1/012004
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::563d893d20997d15bd755adb06ef670b https://doi.org/10.1088/1742-6596/2052/1/012004 Zobrazit plný text záznamu