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

机译:具有不变的Minkowski线元素的非分性对称组与海森伯格量子换向关系一致

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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 Minkowski orthogonal line element. This defines noninertial relativistic symmetry transformations that have the expected classical limit as c → ∞.
机译:由Heisenberg换向关系的量子系统的最大对称性由Weyl-Heisenberg代数的万物族组的投射表示给出。自动形式组是非均匀杂项组的中央延伸,其具有在扩展相空间上起作用的共形缩放。我们确定亚组也留下不变性的退化Minkowski正交线元件。这定义了与C→∞的预期经典极限的非基本相对论对称转换。

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