Perturbative Calculation of the Adiabatic Geometric Phase and Particle in a Well with Moving Walls

Details Perturbative Calculation of the Adiabatic Geometric Phase and Particle in a Well with Moving Walls Perturbative Calculation of the Adiabatic Geometric Phase and Particle in a Well with Moving Walls

1999-10-25

arxiv.org/abs/quant-ph/9910104v1

J.Phys.A32:8325-8340,1999

Physics

Quantum Physics

Plain Latex, accepted for publication in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/32/47/311

We use the Rayleigh-Schr\"odinger 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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