Moving Walls and Geometric Phases
Mathematical Physics
2016-06-10 v1 math.MP
Quantum Physics
Abstract
We unveil the existence of a non-trivial Berry phase associated to the dynamics of a quantum particle in a one dimensional box with moving walls. It is shown that a suitable choice of boundary conditions has to be made in order to preserve unitarity. For these boundary conditions we compute explicitly the geometric phase two-form on the parameter space. The unboundedness of the Hamiltonian describing the system leads to a natural prescription of renormalization for divergent contributions arising from the boundary.
Keywords
Cite
@article{arxiv.1509.00381,
title = {Moving Walls and Geometric Phases},
author = {Paolo Facchi and Giancarlo Garnero and Giuseppe Marmo and Joseph Samuel},
journal= {arXiv preprint arXiv:1509.00381},
year = {2016}
}
Comments
16 pages, 5 figures