Journal of Mathematical Physics
Orbits of the rotation group on the density matrices of spin-1 particles
Michel Daumens, Marcel Perroud
Abstract
The SO(3) orbits of the spin-one mixed states, contained in each SU(3) orbit are shown to be characterized by the squares (defined by means of a symmetric bilinear form) of the eigenvectors of the density matrices. The orbits of matrices diagonalizable by a rotation in a spherical basis are deduced, and quadrupole matrices are considered as a special case.