Quantization Without Quantization

✍ Scribed by J.R. Klauder

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 498 KB
• Volume: 237
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1995.1007

✦ Synopsis

Appropriate to a single classical degree of freedom, completely general, two-parameter "coherent states" are defined without the use of any group or any (c)-number to (q)-number transformation and in such a way that the classical phase space inherits a generically symmetry-free geometry. A coherent-state path integral provides a quantization prescription for a classical system that gives a new dimension to the generality of such a procedure. In addition, sets of coherent states may be designed so that each set is invariant under time evolution by a Hamiltonian chosen from an infinite set of distinct Hamiltonian operators. The extension of these ideas to multiple degree-of-freedom systems is indicated. 1995 Academic Press. Inc.