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arXiv · 0810.0309

Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians

P. -L. Giscard
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Abstract

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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P. -L. Giscard. 2009-01-03. Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians. https://arxiv.org/abs/0810.0309

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