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Entropy 2013, 15(6), 2415-2430; doi:10.3390/e15062415
Article

A Method for Choosing an Initial Time Eigenstate in Classical and Quantum Systems

*  and
Physics Department, Cinvestav, Apdo. postal 14-740, Mèxico, DF 07300 , Mexico
* Author to whom correspondence should be addressed.
Received: 23 April 2013 / Revised: 29 May 2013 / Accepted: 3 June 2013 / Published: 17 June 2013
(This article belongs to the Special Issue Dynamical Systems)
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Abstract

A subject of interest in classical and quantum mechanics is the development of the appropriate treatment of the time variable. In this paper we introduce a method of choosing the initial time eigensurface and how this method can be used to generate time-energy coordinates and, consequently, time-energy representations for classical and quantum systems.
Keywords: energy-time coordinates; energy-time eigenfunctions; time in classical systems; time in quantum systems; commutators in classical systems; commutators energy-time coordinates; energy-time eigenfunctions; time in classical systems; time in quantum systems; commutators in classical systems; commutators
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Torres-Vega, G.; Jiménez-García, M.N. A Method for Choosing an Initial Time Eigenstate in Classical and Quantum Systems. Entropy 2013, 15, 2415-2430.

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