Semiclassical approximation of functional integrals containing the centrifugal potential

Autor:	V. B. Malyutin, B. O. Nurjanov
Rok vydání:	2023
Předmět:	Computational Theory and Mathematics General Mathematics General Physics and Astronomy
Zdroj:	Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 58:389-397
ISSN:	2524-2415 1561-2430
DOI:	10.29235/1561-2430-2022-58-4-389-397
Popis:	In this paper, we consider the class of functional integrals with respect to the conditional Wiener measure, which is important for applications. These integrals are written using the action functional containing terms corresponding to kinetic and potential energies. For the considered class of integrals an approach to semiclassical approximation is developed. This approach is based on the decomposition of the action with respect to the classical trajectory. In the expansion of the action, only terms with degrees zero and two are used. A numerical analysis of the accuracy of the semiclassical approximation for functional integrals containing the centrifugal potential is done.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::125d5d0e842ca21d99033986ebce79c8 https://doi.org/10.29235/1561-2430-2022-58-4-389-397 Zobrazit plný text záznamu