Semiclassical approximation of functional integrals containing the centrifugal potential
https://doi.org/10.29235/1561-2430-2022-58-4-389-397
Abstract
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.
About the Authors
V. B. Malyutin
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Victor B. Malyutin – Dr. Sc. (Physics and Mathematics), Chief Researcher, Institute of Mathematics of the National Academy of Sciences of Belarus.
11, Surganov Str., 220072, Minsk
B. O. Nurjanov
Institute of Mathematics named after V. I. Romanovsky of the Academy of Sciences of the Republic of Uzbekistan; Karakalpak State University named after Berdakh
Uzbekistan
Uzbekistan
Berdakh O. Nurjanov – Ph. D. (Physics and Mathematics), Senior Researcher, Institute of Mathematics named after V.I. Romanovsky of the Academy of Sciences of the Republic of Uzbekistan; Karakalpak State University named after Berdakh
9, University Str., 100174, Tashkent; 1, Ch. Abdirov Str., 230112, Nukus
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