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.
Highlights
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
D. Functional Integrals: Approximate Evaluation and Applications / A
Summary
Б. Приближенное вычисление функциональных интегралов, содержащих центробежный потенциал / В. APPROXIMATE EVALUATION OF FUNCTIONAL INTEGRALS WITH CENTRIFUGAL POTENTIAL Approximate evaluation of functional integrals containing a centrifugal potential is considered. 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.
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