| Автор | Donald Marolf |
| Дата выпуска | 1995-06-01 |
| dc.description | We consider a quantization of the Bianchi IX cosmological model based on taking the constraint to be a self-adjoint operator in an auxiliary Hilbert space. Using a WKB-style self-consistent approximation, the constraint chosen is shown to only have a continuous spectrum at zero. Nevertheless, the auxiliary space induces an inner product on the zero-eigenvalue generalized eigenstates such that the resulting physical Hilbert space has a countably infinite dimension. In addition, a complete set of gauge-invariant operators on the physical space is constructed by integrating differential forms over the spacetime. The behaviour of these operators indicates that this quantization preserves Wald's classical result that the Bianchi IX spacetimes expand to a maximum volume and then recollapse. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Observables and a Hilbert space for Bianchi IX |
| Тип | paper |
| DOI | 10.1088/0264-9381/12/6/010 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 12 |
| Первая страница | 1441 |
| Последняя страница | 1454 |
| Аффилиация | Donald Marolf; Physics Department, The University of California, Santa Barbara, CA 93106, USA |
| Выпуск | 6 |
