**J. Dobaczewski, ^{1,2} J. Dudek,^{2} S.G. Rohozinski,^{1} and
T.R. Werner^{1,2}
**

^{1}Institute of Theoretical Physics, Warsaw University,

Hoza 69, PL-00681, Warsaw, Poland

^{2}Institute de Recherches Subatomiques, CNRS-IN_{2}P_{3}/Université

Louis Pasteur, F-67037 Strasbourg Cedex 2, France

We analyze breaking of symmetries that belong to the double point
group D
(three mutually perpendicular symmetry axes of the
second order, inversion, and time reversal). Subgroup structure of
the D
group indicates that there can be as much as 28 physically
different, broken-symmetry mean-field schemes -- starting with
solutions obeying all the symmetries of the D
group, through 26
generic schemes in which only a non-trivial subgroup of D
is
conserved, down to solutions that break all of the D
symmetries. Choices of single-particle bases and the corresponding
structures of single-particle hermitian operators are discussed for
several subgroups of D
.

- Introduction
- Subgroups of D and D and the symmetry breaking
- Single-particle bases and matrix structure of the single-particle hermitian operators
- Conclusions
- Bibliography
- About this document ...