The Bargmann representation for the quantum mechanics on a sphere

K. Kowalski, J. Rembielinski

Published 2000-11-16Version 1

The Bargmann representation is constructed corresponding to the coherent states for a particle on a sphere introduced in: K. Kowalski and J. Rembielinski, J. Phys. A: Math. Gen. 33, 6035 (2000). The connection is discussed between the introduced formalism and the standard approach based on the Hilbert space of square integrable functions on a sphere S^2.