Particle on a polygon: Quantum Mechanics
classification
🪐 quant-ph
keywords
particlemechanicsmovingpolygonquantumcasescentripetalcircle
read the original 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.
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