Premium
On the interbasis expansion for the Kaluza‐Klein monopole system
Author(s) -
Grosche C.,
Pogosyan G. S.,
Sissakian A. N.
Publication year - 1997
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19975090205
Subject(s) - kaluza–klein theory , magnetic monopole , physics , theoretical physics , mathematical physics , quantum electrodynamics , quantum mechanics
We study the interbasis expansion of the wave‐functions of the Kaluza‐Klein monopole system in the parabolic coordinate system with respect to the spherical coordinate system, and vice versa. We show that the coefficients of the expansion are proportional to Clebsch‐Gordan coefficients. We analyse the discrete and continuous spectrum as well, briefly discuss the feature that the (reduced) Kaluza‐Klein monopole system is separable in three coordinate systems, and the fact that there are five functionally independent integrals of motion, respectively observables, a property which characterizes this system as super‐integrable.