Particle on a polygon: Quantum Mechanics
arXiv:quant-ph/0009011
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.
4 pages RevTex, 3 eps figures included, considerably modified