Noncommuting Coordinates in the Landau Problem
量子物理
2007-05-23 v1 介观与纳米尺度物理
高能物理 - 理论
摘要
Basic ideas about noncommuting coordinates are summarized, and then coordinate noncommutativity, as it arises in the Landau problem, is investigated. I review a quantum solution to the Landau problem, and evaluate the coordinate commutator in a truncated state space of Landau levels. Restriction to the lowest Landau level reproduces the well known commutator of planar coordinates. Inclusion of a finite number of Landau levels yields a matrix generalization.
引用
@article{arxiv.quant-ph/0302001,
title = {Noncommuting Coordinates in the Landau Problem},
author = {Gabrielle Magro},
journal= {arXiv preprint arXiv:quant-ph/0302001},
year = {2007}
}
备注
9 pages; senior thesis, submitted to the MIT Physics Department on 17 January 2003; email correspondence to [email protected]