Factorization of Wigner Time-Reversal Operator and Reduction of Time-Reversal Symmetry

  • Ion I. GeruEmail author
Part of the Springer Tracts in Modern Physics book series (STMP, volume 281)


The Wigner time-reversal operator \(\mathbf T \) is represented as the product of two or three so-called operators of incomplete time-reversal, under the action of which not all the angular momentum projection operators change sign. It is shown that when the symmetry of time reversal is violated (reduced) in systems with Kramers degeneracy of energy levels, a violation of the Kramers theorem occurs, with the exception of one case when such reducing is insufficient to remove the Kramers degeneracy. The commutation and anticommutation relations between operators of incomplete time reversal, as well as between these operators and the operator \(\mathbf T \), are found. It is shown that these relations are different for Kramers and non-Kramers systems.

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Institute of ChemistryAcademy of Sciences of MoldovaChisinauMoldova

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