Particle on a polygon: Quantum Mechanics

Details Particle on a polygon: Quantum Mechanics Particle on a polygon: Quantum Mechanics

2000-09-04

arxiv.org/abs/quant-ph/0009011v2

Orissa Journal of Physics, vol. XI, (2004), 197-204

Physics

Quantum Physics

4 pages RevTex, 3 eps figures included, considerably modified

Scientific paper

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.

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