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arXiv · 0806.2454

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

Stephen G. Low
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Abstract

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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Stephen G. Low. 2011-04-07. Noninertial symmetry group with invariant Minkowski line element consistent with Heisenberg quantum commutation relations. https://doi.org/10.1088/1742-6596%2F284%2F1%2F012045

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