Quantum mechanics with respect to different reference frames

Physics – Quantum Physics

Scientific paper

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16 pages

Scientific paper

10.1063/1.2769147

Geometric (Schrodinger) quantization of nonrelativistic mechanics with respect to different reference frames is considered. In classical nonrelativistic mechanics, a reference frame is represented by a connection on a configuration space fibered over a time axis. Under quantization, it yields a connection on the quantum algebra of Schrodinger operators. The operators of energy with respect to different reference frames are examined.

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