An algebraic proof of a quadratic ralation in MICZ-Kepler problem

Abstract

In his works on the study of the quantum dynamical symmetries of a family of generalized MICZ-Kepler problems, Meng discovered a family of quadratic relations that characterize the representations occurring both in the gauge group representations and the representations of the total Hilbert spaces of these dynamical systems. In the present work, a direct algebraic proof of the quadratic relations is given and we also investigate the symplectic case.

Date of Award	2008
Original language	English
Awarding Institution	The Hong Kong University of Science and Technology