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.
Properties of fluctuating states in loop quantum cosmology
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abstract
In loop quantum cosmology, the values of volume fluctuations and correlations determine whether the dynamics of an evolving state exhibits a bounce. Of particular interest are states that are supported only on either the positive or the negative part of the spectrum of the Hamiltonian that generates this evolution. It is shown here that the restricted support on the spectrum does not significantly limit the possible values of volume fluctuations.
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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.