Nonlinear Phenomena in Complex Systems, 2015, Vol.18, No.1, pp.1-14

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2015, Vol.18, No.1, pp.1-14

Quantization of the Inhomogeneous Bianchi I model: Quasi-Heisenberg Picture
S. L. Cherkas and V. L. Kalashnikov

The quantization scheme is suggested for a spatially inhomogeneous 1+1 Bianchi I model. The scheme consists in quantization of the equations of motion and gives the operator (so-called quasi-Heisenberg) equations describing explicit evolution of a system. Some particular gauge suitable for quantization is proposed. The Wheeler-DeWitt equation is considered in the vicinity of zero scale factor and it is used to construct a space where the quasi-Heisenberg operators act. Spatial discretization as a UV regularization procedure is suggested for the equations of motion.

Key words: quantum gravity, midisuperspace model

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