Perturbative Calculation of the Adiabatic Geometric Phase and Particle in a Well with Moving Walls
Abstract
Description
We use the Rayleigh-Schrödinger 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.
Plain Latex, accepted for publication in J. Phys. A: Math. Gen
Plain Latex, accepted for publication in J. Phys. A: Math. Gen