Quantization of the Taub cosmological model with extrinsic time

Details Quantization of the Taub cosmological model with extrinsic time Quantization of the Taub cosmological model with extrinsic time

2000-06-07

arxiv.org/abs/gr-qc/0006027v2

Phys.Rev. D63 (2001) 023502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, no figures; authors' names corrected

Scientific paper

10.1103/PhysRevD.63.023502

The paper addresses the quantization of minisuperspace cosmological models, with application to the Taub Model. By desparametrizing the model with an extrinsic time, a formalism is developed in order to define a conserved Schr\"{o}dinger inner product in the space of solutions of the Wheeler-De Witt equation. A quantum version of classical canonical transformations is introduced for connecting the solutions of the Wheeler-De Witt equation with the wave functions of the desparametrized system. Once this correspondence is established, boundary conditions on the space of solutions of the Wheeler-De Witt equation are found to select the physical subspace. The question of defining boundary conditions on the space of solutions of the Wheeler-De Witt equation without having reduced the system is examined.

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