Wigner distribution function and phase-space formulation of quantum cosmology

Details Wigner distribution function and phase-space formulation of quantum cosmology Wigner distribution function and phase-space formulation of quantum cosmology

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..40..380c&link_type=abstract

Physical Review D (Particles and Fields), Volume 40, Issue 2, 15 July 1989, pp.380-389

Physics

18

Scientific paper

We present a phase-space formulation of quantum cosmology in terms of the Wigner distribution functions, which are useful for statistical descriptions of the quantum states of the Universe. Using a conformal formulation of field theory in curved space we derive a set of Wheeler-DeWitt-Vlasov equations and a generalized mass-shell condition satisfied by the Wigner functions up to the second adiabatic order. For minisuperspaces with diagonal metric and potentials of one variable, we find approximate solutions to these equations and exact solutions for the Bianchi type-II universe as an example. They all possess the correct classical limits.

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