Quantum cosmological Friedman models with an initial singularity

Details Quantum cosmological Friedman models with an initial singularity Quantum cosmological Friedman models with an initial singularity

2008-06-11

arxiv.org/abs/0806.1769v7

Class.Quant.Grav.26:015001,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages, v7: Introduction rewritten and and a comparison with the classical solutions added. This will be the published versi

Scientific paper

10.1088/0264-9381/26/1/015001

We consider the Wheeler-DeWitt equation $H\psi=0$ in a suitable Hilbert space. It turns out that this equation has countably many solutions $\psi_i$ which can be considered as eigenfunctions of a Hamilton operator implicitly defined by $H$. We consider two models, a bounded one, $0

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