Point symmetries in the Hartree-Fock approach: Densities, shapes and currents

J. Dobaczewski,^1,2 J. Dudek,² S.G. Rohozinski,¹ and T.R. Werner^1,2
1Institute of Theoretical Physics, Warsaw University,
Hoza 69, PL-00681, Warsaw, Poland
²Institute de Recherches Subatomiques, CNRS-IN₂P₃/Université
Louis Pasteur, F-67037 Strasbourg Cedex 2, France

Abstract:

Three mutually perpendicular symmetry axes of the second order, inversion, and time reversal can be used to construct a double point group denoted by D $_{\mbox{\rm\scriptsize {2h}}}^{\mbox{\rm\scriptsize {TD}}}$. Properties of this group are analyzed in relation to the symmetry and symmetry-breaking effects within the mean-field (Hartree-Fock) theories, both in even and odd fermion systems. We enumerate space symmetries of local one-body densities, and symmetries of electromagnetic moments, that appear when some or all of the D $_{\mbox{\rm\scriptsize {2h}}}^{\mbox{\rm\scriptsize {TD}}}$ elements represent self-consistent mean-field symmetries.