QUANTUM CANONICAL INVARIANCE: A MOYAL APPROACH

Dunne, Gerald V.

doi:10.1088/0305-4470/21/10/012

QUANTUM CANONICAL INVARIANCE: A MOYAL APPROACH

Gerald V. Dunne
(
- Imperial Coll., London
)

Nov, 1987

22 pages

Published in:

J.Phys.A 21 (1988) 2321

DOI:

10.1088/0305-4470/21/10/012

Report number:

IMPERIAL/TP/87-88/3

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Abstract: (IOP)

The quasiclassical generalised Moyal quantisation procedure is applied to the problem of quantum canonical invariance. Simple new formulae for the Moyal bracket corresponding to various correspondence rules are given, and are used to calculate the 'additional potential terms' arising from a point canonical transformation made on a free Hamiltonian. The status of canonical transformations in other equivalent quantum phase space formulations is also reviewed.

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