Angular distributions and polarization correlations of two-photon spherical states

The properties of angular polarization at the center of mass reference of a system of two-photon spherical Landau states in momentum space are analyzed in detail. The angular distributions for fixed values of $J$ and $M$ do not depend on the parity of $P$, but are determined by two different functions of the polar angle between the relative momentum and the quantization axes. Two-photon polarization density matrices are derived for each value of $J$, $M$ and $P$. The correlations of the linear polarization of individual photons are analyzed in detail. In addition to the usual correlation laws for $J\ge2$, expressed in terms of $\sin$ and $\cos$ angles between analyzer orientations, correlations are found in terms of the sum of analyzer orientation angles.