https://doi.org/10.1007/PL00021594
Algebraic time-reversal operation
Laboratoire de Physique (CNRS) ,
Université de Bourgogne, B.P. 400,
21011 Dijon, France
Received:
20
April
1998
Revised:
12
October
1998
Accepted:
30
October
1998
Published online: 4 July 2013
We analyze the implementation of the time-reversal (TR) transformation in the algebraic approach to
tetrahedral local molecules through the chain of groups
.
We determine the general form of the TR operation using a purely algebraic realization,
based exclusively on the requirement that the irreducible representations must not be
changed under the time inversion symmetry. As a result we can determine the
TR behavior of purely algebraic operators.
PACS: 03.65.Fd – Algebraic methods / 31.15.Hz – Group theory
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999