Extended Cahill-Glauber formalism for finite dimensional spaces: I. Fundamentals

Details Extended Cahill-Glauber formalism for finite dimensional spaces: I. Fundamentals Extended Cahill-Glauber formalism for finite dimensional spaces: I. Fundamentals

2005-03-04

arxiv.org/abs/quant-ph/0503054v3

Physics

Quantum Physics

11 pages, minor changes, to appear on J. Phys. A: Math. and Gen

Scientific paper

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.

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