Quantum Mechanics on Thin Cylinders
摘要
We discuss the quantum mechanics of particles of arbitrary statistics on an infinite cylinder with and without a magnetic field perpendicular to the surface. In the presence of a magnetic field, the translational symmetry along the cylinder is broken down to a discrete one by the Aharonov-Bohm effect. For interacting fermions in a strong field we get an effective one-dimensional lattice model that in a limit can be mapped on an Ising chain. We also show that a system of anyons on a cylinder are, in a certain limit closely related to the one-dimensional (integrable) Sutherland model. By order of magnitude estimates we demonstrate that none of these effects are likely to be experimentally observed with present techniques.
引用
@article{arxiv.cond-mat/9301018,
title = {Quantum Mechanics on Thin Cylinders},
author = {Erik Westerberg and T. H. Hansson},
journal= {arXiv preprint arXiv:cond-mat/9301018},
year = {2009}
}
备注
20 pages, Latex, 4 figures available on request ([email protected]), USITP-92-13