“A general mathematical structure for the time reversal operator”

ADOLFO ORDÓÑEZ; MARIO CASTAGNINO; DANIELA EMMANUELE

MATHEMATICAE NOTAE

Instituto Beppo Levi, Universidad Nacional de Rosario

Lugar: Rosario; Año: 2006

0025-553X

The aim of this work is the mathematical analysis of the physical time-reversal operator and its definition as a geometrical structure, 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. 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.