Uncertainty relations in curved spaces
量子物理
2008-11-26 v3
摘要
Uncertainty relations for particle motion in curved spaces are discussed. The relations are shown to be topologically invariant. New coordinate system on a sphere appropriate to the problem is proposed. The case of a sphere is considered in details. The investigation can be of interest for string and brane theory, solid state physics (quantum wires) and quantum optics.
引用
@article{arxiv.quant-ph/0306080,
title = {Uncertainty relations in curved spaces},
author = {A. V. Golovnev and L. V. Prokhorov},
journal= {arXiv preprint arXiv:quant-ph/0306080},
year = {2008}
}
备注
published version; phase space structure discussion added