Publication: Perturbative calculation of the adiabatic geometric phase and particle in a well with moving walls
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Abstract
We use the Rayleigh-Schrodinger perturbation theory to calculate the corrections to the adiabatic geometric phase due to a perturbation of the Hamiltonian. We show that these corrections are at least of second order in the perturbation parameter. As an application of our general results we address the problem of the adiabatic,geometric phase for a one-dimensional particle which is confined to an infinite square well with moving walls.
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Iop Publishing Ltd
Subject
Physics, multidisciplinary, Physics, mathematical
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Journal of Physics A: Mathematical and General
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DOI
10.1088/0305-4470/32/47/311