Particle on a polygon: Quantum Mechanics
Quantum Physics
2010-10-19 v2
Abstract
We study the quantization of a model proposed by Newton to explain centripetal force namely, that of a particle moving on a regular polygon. The exact eigenvalues and eigenfunctions are obtained. The quantum mechanics of a particle moving on a circle and in an infinite potential well are derived as limiting cases.
Cite
@article{arxiv.quant-ph/0009011,
title = {Particle on a polygon: Quantum Mechanics},
author = {Rajat Kumar Pradhan and Sandeep K. Joshi},
journal= {arXiv preprint arXiv:quant-ph/0009011},
year = {2010}
}
Comments
4 pages RevTex, 3 eps figures included, considerably modified