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Entropy 2013, 15(10), 4105-4121; doi:10.3390/e15104105

Time Eigenstates for Potential Functions without Extremal Points

Physics Department, Cinvestav, Apdo. postal 14-740, México D.F. 07300, Mexico
Received: 18 August 2013 / Revised: 21 September 2013 / Accepted: 22 September 2013 / Published: 26 September 2013
(This article belongs to the Special Issue Dynamical Systems)
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Abstract

In a previous paper, we introduced a way to generate a time coordinate system for classical and quantum systems when the potential function has extremal points. In this paper, we deal with the case in which the potential function has no extremal points at all, and we illustrate the method with the harmonic and linear potentials.
Keywords: energy-time coordinates; energy-time eigenfunctions; time in classical systems; time in quantum systems; harmonic oscillator; linear potential energy-time coordinates; energy-time eigenfunctions; time in classical systems; time in quantum systems; harmonic oscillator; linear potential
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This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Torres-Vega, G. Time Eigenstates for Potential Functions without Extremal Points. Entropy 2013, 15, 4105-4121.

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