A general mathematical structure for the time-reversal operator
Quantum Physics
2019-08-17 v1
Abstract
The aim of this work is the mathematical analysis of the physical time-reversal operator and its definition as a geometrical structure\QTR{bf}{, }in such a way that it could be generalized to the purely mathematical realm. Rigorously, only having such a ``time-reversal structure'' it can be decided whether a dynamical system is time-symmetric or not.\QTR{it}{\}The ``time-reversal structures'' of several important physical and mathematical examples are presented, showing that there are some mathematical categories whose objects are the (classical or abstract) ``time-reversal systems'' and whose morphisms generalize the Wigner transformation.
Cite
@article{arxiv.quant-ph/0103132,
title = {A general mathematical structure for the time-reversal operator},
author = {Mario Alberto Castagnino and Adolfo Ramon Ordoniez and Daniela Beatriz Emmanuele},
journal= {arXiv preprint arXiv:quant-ph/0103132},
year = {2019}
}
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12 pages