For two integrable minisuperspace cosmologies, the paper constructs equivalent Hamiltonians via Faddeev-Jackiw reduction and uses them to study quantum wave packets and Wigner functions.
Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables
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abstract
We study classical and quantum noncommutative cosmology with a Liouville-type scalar degree of freedom. The noncommutativity is imposed on the minisuperspace variables through a deformation of the Poisson algebra. In this paper, we investigate the effects of noncommutativity of minisuperspace variables on the accelerating behavior of the cosmic scale factor. The probability distribution in noncommutative quantum cosmology is also studied and we propose a novel candidate for interpretation of the probability distribution in terms of noncommutative arguments.
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gr-qc 1years
2019 1verdicts
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Equivalent Hamiltonian approach to quantum cosmology of integrable models
For two integrable minisuperspace cosmologies, the paper constructs equivalent Hamiltonians via Faddeev-Jackiw reduction and uses them to study quantum wave packets and Wigner functions.