Wang, Charles (2003) A nonlinear quantum model of the Friedmann universe. Classical and Quantum Gravity, 20 (14). pp. 3151-3164. ISSN 1361-6382
Full text not available from this repository.Abstract
A discussion is given of the quantization of a physical system with finite degrees of freedom subject to a Hamiltonian constraint by treating time as a constrained classical variable interacting with an unconstrained quantum state. This leads to a quantization scheme that yields a Schrödinger-type equation which is in general nonlinear in evolution. Nevertheless, it is compatible with a probabilistic interpretation of quantum mechanics and in particular the construction of a Hilbert space with a Euclidean norm is possible. The new scheme is applied to the quantization of a Friedmann universe with a massive scalar field whose dynamical behaviour is investigated numerically.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Classical and Quantum Gravity |
| Subjects: | Q Science > QC Physics |
| Departments: | Faculty of Science and Technology > Physics |
| ID Code: | 10472 |
| Deposited By: | Mrs Yaling Zhang |
| Deposited On: | 15 Jul 2008 14:41 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 14:49 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/10472 |
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