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arXiv · 1109.4903

Quantum string cosmology in the phase space

Ruben Cordero·Erik Diaz·Hugo Garcia-Compean·Francisco J. Turrubiates
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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.

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Ruben Cordero, Erik Diaz, Hugo Garcia-Compean, Francisco J. Turrubiates. 2011-09-22. Quantum string cosmology in the phase space. https://doi.org/10.1063/1.3647533

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