A nonlinear quantum model of the Friedmann universe
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Publication:4457677
DOI10.1088/0264-9381/20/14/316zbMATH Open1038.83055arXivgr-qc/0304101OpenAlexW3102339258MaRDI QIDQ4457677
Author name not available (Why is that?)
Publication date: 25 March 2004
Published in: (Search for Journal in Brave)
Abstract: A discussion is given of the quantisation 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 quantisation scheme that yields a Schrodinger-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 quantisation of a Friedmann Universe with a massive scalar field whose dynamical behaviour is investigated numerically.
Full work available at URL: https://arxiv.org/abs/gr-qc/0304101
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