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Quantum mechanics with respect to different reference frames

Quantum Physics 2009-11-13 v1 Mathematical Physics math.MP

Abstract

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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Cite

@article{arxiv.quant-ph/0703266,
  title  = {Quantum mechanics with respect to different reference frames},
  author = {L. Mangiarotti and G. Sardanashvily},
  journal= {arXiv preprint arXiv:quant-ph/0703266},
  year   = {2009}
}

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16 pages