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arXiv · 1308.4470

Quantum Revivals of Morse Oscillators and Farey-Ford Geometry

Alvason Zhenhua Li·William G. Harter
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Abstract

Analytical eigensolutions for Morse oscillators are used to investigate quantum resonance and revivals and show how Morse anharmonicity affects revival times. A minimum semi-classical Morse revival time Tmin-rev found by Heller is related to a complete quantum revival time Trev using a quantum deviation parameter that in turn relates Trev to the maximum quantum beat period Tmax-beat. Also, number theory of Farey and Thales-circle geometry of Ford is shown to elegantly analyze and display fractional revivals. Such quantum dynamical analysis may have applications for spectroscopy or quantum information processing and computing.

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Alvason Zhenhua Li, William G. Harter. 2013-08-21. Quantum Revivals of Morse Oscillators and Farey-Ford Geometry. https://arxiv.org/abs/1308.4470

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