Deformation quantization of cosmological models

Details Deformation quantization of cosmological models Deformation quantization of cosmological models

2011-02-22

arxiv.org/abs/1102.4379v1

Phys. Rev. D 83, 125030 (2011)

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 16 figures

Scientific paper

10.1103/PhysRevD.83.125030

The Weyl-Wigner-Groenewold-Moyal formalism of deformation quantization is applied to cosmological models in the minisuperspace. The quantization procedure is performed explicitly for quantum cosmology in a flat minisuperspace. The de Sitter cosmological model is worked out in detail and the computation of the Wigner functions for the Hartle-Hawking, Vilenkin and Linde wave functions are done numerically. The Wigner function is analytically calculated for the Kantowski-Sachs model in (non)commutative quantum cosmology and for string cosmology with dilaton exponential potential. Finally, baby universes solutions are described in this context and the Wigner function is obtained.

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