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arXiv · 1308.2788

Quantum dynamics of the harmonic oscillator on a cylinder

K. Kowalski·J. Rembieliński
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Abstract

Evolution of coherent states is considered for a particle confined to a cylinder moving in a harmonic oscillator potential. Because of the discontinuous changes as time goes by of the phase representing the position of a particle on a parallel (circle) the trajectory pattern of quantum averages specifying coordinates on a cylinder is very complex and in some aspects resembles chaotic one.

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K. Kowalski, J. Rembieliński. 2013-08-13. Quantum dynamics of the harmonic oscillator on a cylinder. https://arxiv.org/abs/1308.2788

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