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A nonlinear quantum model of the Friedmann universe.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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A nonlinear quantum model of the Friedmann universe. / Wang, Charles.
In: Classical and Quantum Gravity, Vol. 20, No. 14, 25.06.2003, p. 3151-3164.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Wang, C 2003, 'A nonlinear quantum model of the Friedmann universe.', Classical and Quantum Gravity, vol. 20, no. 14, pp. 3151-3164. https://doi.org/10.1088/0264-9381/20/14/316

APA

Wang, C. (2003). A nonlinear quantum model of the Friedmann universe. Classical and Quantum Gravity, 20(14), 3151-3164. https://doi.org/10.1088/0264-9381/20/14/316

Vancouver

Wang C. A nonlinear quantum model of the Friedmann universe. Classical and Quantum Gravity. 2003 Jun 25;20(14):3151-3164. doi: 10.1088/0264-9381/20/14/316

Author

Wang, Charles. / A nonlinear quantum model of the Friedmann universe. In: Classical and Quantum Gravity. 2003 ; Vol. 20, No. 14. pp. 3151-3164.

Bibtex

@article{3e5b84429d9449d8b7d8bb86e4246e63,
title = "A nonlinear quantum model of the Friedmann universe.",
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 Schr{\"o}dinger-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.",
author = "Charles Wang",
year = "2003",
month = jun,
day = "25",
doi = "10.1088/0264-9381/20/14/316",
language = "English",
volume = "20",
pages = "3151--3164",
journal = "Classical and Quantum Gravity",
issn = "1361-6382",
publisher = "IOP Publishing",
number = "14",

}

RIS

TY - JOUR

T1 - A nonlinear quantum model of the Friedmann universe.

AU - Wang, Charles

PY - 2003/6/25

Y1 - 2003/6/25

N2 - 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.

AB - 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.

U2 - 10.1088/0264-9381/20/14/316

DO - 10.1088/0264-9381/20/14/316

M3 - Journal article

VL - 20

SP - 3151

EP - 3164

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 1361-6382

IS - 14

ER -