Klauder coherent states and Quantum-Classical correspondence

From: Kanwarpreet Grewal (kanwar_at_cadence.com)
Date: 10/28/04


Date: Thu, 28 Oct 2004 18:29:10 +0000 (UTC)


Hi,

     See J.R Klauder's papers:

    The Current State of Coherent States : quant-ph/0110108
     Coherent States for Discrete Spectrum Dynamics : quant-ph/9810044

      In these papers Klauder tries to generalize the definition of
coherent states.
      He selects 4 conditions for coherent states:

1) Resolution of Unity
2) Temporal Stability
3) Overcompleteness
4) Action Identity

      I have no problems with 1 - 3 . However I dont understand 4).
Klauder insists that
for a coherent state |J,Y> to be physically meaningful J and Y have to
be classical action
angle variables. So my questions are:

1) Why the insistance that (J,Y) should be classical action angle
variables?
2) How are action-angle variables important in quantum-classical
correspondence
3) Is Klauder trying to form a theory of how classical emerges from
quantum?

Kanwar

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