Phase space quantization via Wigner distributions and Moyal product for Taub and Kantowski-Sachs models recovers modified Bessel function wave functions without factor ordering ambiguities.
Noncommutative Quantum Cosmology
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abstract
We propose a model for noncommutative quantum cosmology by means of a deformation of minisuperspace. For the Kantowski-Sachs metric we are able to find the exact wave function. We construct wave packets and show that new quantum states that ``compete'' to be the most probable state appear, in clear contrast with the commutative case. A tunneling process could be possible among these states.
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gr-qc 1years
2026 1verdicts
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Phase space quantization of anisotropic cosmologies: Taub and Kantowski-Sachs models
Phase space quantization via Wigner distributions and Moyal product for Taub and Kantowski-Sachs models recovers modified Bessel function wave functions without factor ordering ambiguities.