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Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians

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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Giscard, PL More by this author
Publication date:
2008-10-01
URN:
uuid:bc055bb1-1f1f-4663-804b-3e9d45fc7d79
Source identifiers:
168627
Local pid:
pubs:168627
Keywords:

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