Canonical formulation of standard cosmology: Direct quantum approach

In this work we show a procedure to obtain a canonical description of standard cosmology. It is based on the fact that, within the framework of Einstein's general relativity; the dynamics of a spatially homogeneous and isotropic perfect fluid is governed by two equations for a pair of physical variables (rho, theta) (the comoving proper density of matter and the inverse of the Hubble radius), which are related to a pair of canonical variables (q,p) (roughly the radius of the Universe and its rate of change). We show that this system admits a Hamiltonian formulation, and we provide its quantum version.