Canonical formulation of standard cosmology: Direct quantum approach

Details Canonical formulation of standard cosmology: Direct quantum approach Canonical formulation of standard cosmology: Direct quantum approach

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..54.6202n&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 54, Issue 10, 15 November 1996, pp.6202-6205

Physics

10

Canonical Quantization, Fundamental Problems And General Formalism, Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

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 (ρ,θ) (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.

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