Phys. Rev. D 63, 023502 (2000) [7 pages]Quantization of the Taub model with extrinsic timeReceived 7 June 2000; published 15 December 2000 The paper addresses the quantization of cosmological models, with application to the Taub model. By reducing the model with extrinsic time, a formalism is developed in order to define a conserved Schrödinger inner product in the space of solutions of the Wheeler-DeWitt equation. A quantum version of classical canonical transformations is introduced for connecting the solutions of the Wheeler-DeWitt equation with the wave functions of the reduced system. Once this correspondence is established, boundary conditions on the space of solutions of the Wheeler-DeWitt equation are obtained to directly select the physical subspace. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.63.023502
DOI:
10.1103/PhysRevD.63.023502
PACS:
98.80.Hw, 04.20.Cv
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