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arXiv · gr-qc/0006027

Quantization of the Taub cosmological model with extrinsic time

Gabriel Catren·Rafael Ferraro
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Abstract

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 Schrödinger 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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BibTeXRIS

Gabriel Catren, Rafael Ferraro. 2000-06-08. Quantization of the Taub cosmological model with extrinsic time. https://doi.org/10.1103/physrevd.63.023502

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