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SU(2) -- Monopole: Interbasis Expansion

1998/01/29 by L. G. Mardoyan, Mardoyan, L. G., A. N. Sissakian +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Superconducting Materials and Applications #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9801198

9 pages, LaTeX file

arxiv created 1998/01/29 · openalex publication_date 1998/01/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article deals with a nonrelativistic quantum mechanical study of a charge-dyon system with the SU(2)--monopole in five dimensions. The Schrödinger equation for this system is separable in the hyperspherical and parabolic coordinates. The problem of interbasis expansion of the wave functions is completely solved. The coefficients for the expansion of the parabolic basis in terms of the hyperspherical basis can be expressed through the Clebsch-Gordan coefficients of the group SU(2).

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