Flux String in Quantum Billiards with Two Particles
High Energy Physics - Theory
2008-11-26 v1 chao-dyn
Chaotic Dynamics
Nuclear Theory
Quantum Physics
Abstract
We examine the quantum motion of two particles interacting through a contact force which are confined in a rectangular domain in two and three dimensions. When there is a difference in the mass scale of two particles, adiabatic separation of the fast and slow variables can be performed. Appearance of the Berry phase and magnetic flux is pointed out. The system is reduced to a one-particle Aharonov-Bohm billiard in two-dimensional case. In three dimension, the problem effectively becomes the motion of a particle in the presence of closed flux string in a box billiard.
Cite
@article{arxiv.hep-th/9603091,
title = {Flux String in Quantum Billiards with Two Particles},
author = {Taksu Cheon and T. Shigehara},
journal= {arXiv preprint arXiv:hep-th/9603091},
year = {2008}
}
Comments
10 pages, REVTeX file, 3 postscript figures, uuencoded