Phase-space representation for Galilean quantum particles of arbitrary spin

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, , Citation J M Gracia-Bondia and J C Varilly 1988 J. Phys. A: Math. Gen. 21 L879 DOI 10.1088/0305-4470/21/18/002

0305-4470/21/18/L879

Abstract

The phase-space approach to quantisation is extended to incorporate spinning particles with Galilean symmetry. The appropriate phase space is the coadjoint orbit r6*S2. From two basic principles, traciality and Galilean covariance, the Weyl symbol calculus is constructed. Then the Galilean-equivariant twisted products of functions on this phase space are identified.

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10.1088/0305-4470/21/18/002