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A nonlinear quantum model of the Friedmann universe.

Wang, Charles (2003) A nonlinear quantum model of the Friedmann universe. Classical and Quantum Gravity, 20 (14). pp. 3151-3164. ISSN 1361-6382

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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: 09 Apr 2014 20:17
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/10472

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