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.
Documento: | Artículo |
Título: | Quantization of the Taub model with extrinsic time |
Autor: | Catren, G.; Ferraro, R. |
Filiación: | Instituto de Astronomía y Física del Espacio, Casilla de Correo 67 - Sucursal 28, 1428 Buenos Aires, Argentina Departamento de Física, Facultad de Ciencias Exactas y Naturales, Pabellón I, 1428 Buenos Aires, Argentina |
Palabras clave: | article; cosmos; gravity; mathematical computing; model; quantitative assay; quantum mechanics; theory |
Año: | 2001 |
Volumen: | 63 |
Número: | 2 |
DOI: | http://dx.doi.org/10.1103/PhysRevD.63.023502 |
Título revista: | Physical Review D |
ISSN: | 05562821 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v63_n2_p_Catren |