Deformation quantization of cosmological models
High Energy Physics - Theory
2011-09-27 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1102.4379,
title = {Deformation quantization of cosmological models},
author = {Ruben Cordero and Hugo Garcia-Compean and Francisco J. Turrubiates},
journal= {arXiv preprint arXiv:1102.4379},
year = {2011}
}
Comments
37 pages, 16 figures