Quantum mechanics of a free particle on a pointed plane revisited
Quantum Physics
2009-11-07 v1
Abstract
The detailed study of a quantum free particle on a pointed plane is performed. It is shown that there is no problem with a mysterious ``quantum anticentrifugal force" acting on a free particle on a plane discussed in a very recent paper: M. A. Cirone et al, Phys. Rev. A 65, 022101 (2002), but we deal with a purely topological efect related to distinguishing a point on a plane. The new results are introduced concerning self-adjoint extensions of operators describing the free particle on a pointed plane as well as the role played by discrete symmetries in the analysis of such extensions.
Keywords
Cite
@article{arxiv.quant-ph/0206176,
title = {Quantum mechanics of a free particle on a pointed plane revisited},
author = {K. Kowalski and K. Podlaski and J. Rembielinski},
journal= {arXiv preprint arXiv:quant-ph/0206176},
year = {2009}
}
Comments
4 figures