Time Reversal in Dissipative Systems

Abstract

An explicit formulation of the time reversal operator K with the property $$K{\text{ }}q{\text{ }}{K^{ - 1}}{\text{ = q; }}K{\text{ }}p{\text{ }}{K^{ - 1}}{\text{ = - p; K }}\vec \sigma {\text{ }}{{\text{K}}^{{\text{ - 1}}}}{\text{ = - }}\vec \sigma $$ (1.1) that it preserve the sign of the position operator q, and reverse the signs of the momentum operator p and the spin \(\vec{\sigma }\) was made by Wigner (1932, 1959).1