Quantum string cosmology in the phase space
High Energy Physics - Theory
2015-05-30 v1 General Relativity and Quantum Cosmology
Abstract
Deformation quantization is applied to quantize gravitational systems coupled with matter. This quantization procedure is performed explicitly for quantum cosmology of these systems in a flat minisuper(phase)space. The procedure is employed in a quantum string minisuperspace corresponding to an axion-dilaton system in an isotropic FRW Universe. The Wheeler-DeWitt-Moyal equation is obtained and its corresponding Wigner function is given analytically in terms of Meijer's functions. Finally, this Wigner functions is used to extract physical information of the system.
Cite
@article{arxiv.1109.4903,
title = {Quantum string cosmology in the phase space},
author = {Ruben Cordero and Erik Diaz and Hugo Garcia-Compean and Francisco J. Turrubiates},
journal= {arXiv preprint arXiv:1109.4903},
year = {2015}
}
Comments
12 pages, 4 figures, to appear in the Proceedings of the VIII Mexican Workshop on Gravitation and Mathematical Physics