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

Preprint

4 March 2005

preprint
Published by arXiv in arXiv

Abstract

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.

Keywords

CONTINUOUS FORMALISM
FINITE DIMENSIONAL
DIMENSIONAL SPACES
GLAUBER FORMALISM
EXTENDED CAHILL
CAHILL GLAUBER
LIMITING CASE

All Related Versions

Version 1, 2005-03-04, ArXiv
Version 2, 2005-03-22, ArXiv
Version 3, 2005-05-30, ArXiv

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