Open AccessApproximate evaluation of functional integrals with centrifugal potential
Author(s) -
Victor Malyutin
Publication year - 2019
Publication title -
vescì nacyânalʹnaj akadèmìì navuk belarusì. seryâ fìzìka-matèmatyčnyh navuk
Language(s) - English
Resource type - Journals
eISSN - 2524-2415
pISSN - 1561-2430
DOI - 10.29235/1561-2430-2019-55-2-152-157
Subject(s) - eigenfunction , computation , eigenvalues and eigenvectors , mathematics , volume integral , slater integrals , series (stratigraphy) , hamiltonian (control theory) , order of integration (calculus) , mathematical analysis , mathematical optimization , algorithm , physics , integral equation , quantum mechanics , paleontology , biology
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.