Classical dynamics as constrained quantum dynamics

Stephen Bartlett, David Rowe

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)1683-1704
Number of pages22
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number6
DOIs
Publication statusPublished - 2003

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