Nicolai Maps for Quantum Cosmology

Details Nicolai Maps for Quantum Cosmology Nicolai Maps for Quantum Cosmology

1993-08-24

arxiv.org/abs/gr-qc/9308026v1

Phys.Rev. D49 (1994) 2786-2791

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, Latex, Sydney University Maths Report 93-26

Scientific paper

10.1103/PhysRevD.49.2786

We construct Nicolai maps for $N=2$ supersymmetric extensions of minisuperspace models. It is shown that Nicolai maps exist for only a very restricted set of states. In the models considered these are the two states corresponding to the empty and the filled fermion sectors. The form of the Nicolai maps in these sectors is given explicitly, and it is shown that they have a natural stochastic interpretation. This result also suggests a probabilistic interpretation of the wave function.

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