Stephen D Bartlett and David J Rowe 2003 J. Phys. A: Math. Gen. 36 1683 doi:10.1088/0305-4470/36/6/312
Stephen D Bartlett1,2 and David J Rowe2
Show affiliationsWe 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.
02.20.Sv Lie algebras of Lie groups
22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
Issue 6 (14 February 2003)
Received 21 November 2002
Published 29 January 2003
Stephen D Bartlett and David J Rowe 2003 J. Phys. A: Math. Gen. 36 1683
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