Physics – Quantum Physics
Scientific paper
2001-05-16
Phys. Rev. A, 64 (2001) 042107
Physics
Quantum Physics
6 pages, 1 figure, revtex, new section added, to appear in PRA
Scientific paper
10.1103/PhysRevA.64.042107
Dynamical evolution is described as a parallel section on an infinite dimensional Hilbert bundle over the base manifold of all frames of reference. The parallel section is defined by an operator-valued connection whose components are the generators of the relativity group acting on the base manifold. In the case of Galilean transformations we show that the property that the curvature for the fundamental connection must be zero is just the Heisenberg equations of motion and the canonical commutation relation in geometric language. We then consider linear and circular accelerating frames and show that pseudo-forces must appear naturally in the Hamiltonian.
Chingangbam Pravabati
Sharan Pankaj
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