Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians

Details Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians

2008-10-01

arxiv.org/abs/0810.0309v3

Physics

Quantum Physics

8 pages Typos are corrected, part III.b. uses now only one gauge change. Submitted to PRA

Scientific paper

We present a method for calculating the Aharonov-Anandan phase for time-independent Hamiltonians that avoids the calculation of evolution operators. We compare the generic method used to calculate the Aharonov-Anandan phase with the method proposed here through four examples; a spin-1/2 particle in a constant magnetic field, an arbitrary infinite-sized Hamiltonian with two known eigenvalues, a Fabry-Perot cavity with one movable mirror and a three mirrors cavity with a slightly transmissive movable middle mirror.

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