Considerations about the Aharonov-Anandan Phase for Time Independent Hamiltonians

2008/10/01 by Pierre-Louis Giscard, Giscard, P. -L.
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.0810.0309

openalex publication_date 2008/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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