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

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.

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

References in corpus (3)

• Reciprocal relativity of noninertial frames: quantum mechanics
• Relativity group for noninertial frames in Hamilton's mechanics
• Hamilton relativity group for noninertial states in quantum mechanics

Cited by in corpus (2)

• Projective Representations of the Inhomogeneous Hamilton Group: Noninertial Symmetry in Quantum Mechanics
• Jacobi Group Symmetry of Hamilton's Mechanics