Extended Cahill–Glauber formalism for finite-dimensional spaces: I. Fundamentals
M. Ruzzi, Marcelo A. Marchiolli, D. Galetti · Journal of Physics A Mathematical and General · 2005
The Cahill–Glauber approach for quantum mechanics on phase space is extended to the finite-dimensional case through the use of discrete coherent states. All properties and features of the continuous formalism are appropriately generalized. The continuum results are promptly recovered as a limiting case. The Jacobi theta functions are shown to have a prominent role in the context.