Physics – Quantum Physics
Scientific paper
2007-03-29
J. Math. Phys. v.48 (2007) 082104
Physics
Quantum Physics
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.
Mangiarotti Luigi
Sardanashvily Gennadi
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