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Approximate evaluation of functional integrals with centrifugal potential

https://doi.org/10.29235/1561-2430-2019-55-2-152-157

Abstract

Approximate evaluation of functional integrals containing a centrifugal potential is considered. By a centrifugal potential is understood a potential arising from a centrifugal force. A combination of the method based on expanding into a series of the eigenfunctions of a Hamiltonian generating a functional integral and the Sturm sequence method for the eigenvalue problem is used for approximate evaluation of functional integrals. This combination allows one to significantly reduce a computation time and a used computer memory volume in comparison to other known methods.

About the Author

V. B. Malyutin
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus

Victor B. Malyutin – Dr. Sc. (Physics and Mathematics), Leading Researcher

11, Surganov Str., 220072, Minsk, Republic of Belarus



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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)