Quantized fields of the Universe in superspace (I): The single Universe

Details Quantized fields of the Universe in superspace (I): The single Universe Quantized fields of the Universe in superspace (I): The single Universe

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993nuphb.406..481s&link_type=abstract

Nuclear Physics B, Volume 406, Issue 1-2, p. 481-498.

Physics

Nuclear Physics

Scientific paper

We consider the Wheeler-DeWitt (WD) equation as a Klein-Gordon equation in the superspace, apply the spectral resolution to the elliptic Laplace-Beltrami operator of the WD equation to get a matrix effective WD equation, and find the complete set of wave functions in the product integral formulation. The superadiabatic expansion method, a generalization of the Parker-Fulling adiabatic method, not only allows the mode decomposition but also provides a complex Hilbert space structure of quantized fields of the Universe and the Fock space of the formal creation and annihilation operators.

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