  Explicit expressions for the differential and total rates and emissivities of
neutrino pairs from the photo-neutrino process $e^\pm + \gamma \to e^\pm + \nu
+ \bar\nu$ in hot and dense matter are derived. Full information about the
emitted neutrinos is retained by evaluating the squared matrix elements for
this process which was hitherto bypassed through the use of Lenard's identity
in obtaining the total neutrino emissivities. Accurate numerical results are
presented for widely varying conditions of temperature and density. Analytical
results helpful in understanding the qualitative behaviors of the rates and
emissivities in limiting situations are derived. The corresponding production
and absorption kernels in the source term of the Boltzmann equation for
neutrino transport are developed. The appropriate Legendre coefficients of
these kernels, in forms suitable for multigroup flux-limited diffusion schemes
are also provided.
