Classical Dynamics as Constrained Quantum Dynamics

Details Classical Dynamics as Constrained Quantum Dynamics Classical Dynamics as Constrained Quantum Dynamics

2002-08-28

arxiv.org/abs/quant-ph/0208168v1

J. Phys. A: Math. Gen. 36, 1683 (2003)

Physics

Quantum Physics

14 pages, 3 figures

Scientific paper

10.1088/0305-4470/36/6/312

We show that the classical mechanics of an algebraic model are implied by its quantizations. An algebraic model is defined, and the corresponding classical and quantum realizations are given in terms of a spectrum generating algebra. Classical equations of motion are then obtained by constraining the quantal dynamics of an algebraic model to an appropriate coherent state manifold. For the cases where the coherent state manifold is not symplectic, it is shown that there exist natural projections onto classical phase spaces. These results are illustrated with the extended example of an asymmetric top.

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