Noninertial symmetry group with invariant Minkowski line element consistent with Heisenberg quantum commutation relations

Details Noninertial symmetry group with invariant Minkowski line element consistent with Heisenberg quantum commutation relations Noninertial symmetry group with invariant Minkowski line element consistent with Heisenberg quantum commutation relations

2008-06-16

arxiv.org/abs/0806.2454v2

J.Phys.Conf.Ser.284:012045,2011

Physics

Mathematical Physics

Proceedings of the 28th International Colloquium on Group-Theoretical Methods in Physics, 26-30 July 2010, Newcastle upon Tyne

Scientific paper

10.1088/1742-6596/284/1/012045

The maximal symmetry of a quantum system with Heisenberg commutation relations is given by the projective representations of the automorphism group of the Weyl-Heisenberg algebra. The automorphism group is the central extension of the inhomogeneous symplectic group with a conformal scaling that acts on extended phase space. We determine the subgroup that also leaves invariant a degenerate orthogonal Minkowski line element. This defines noninertial relativistic symmetry transformations that have the expected classical limit as c becomes infinite.

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