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.
The probability density is given by |Ψ(Q′,t )|2 = 1 √π|A(t)| exp [ −(Q′ −Q′ 0 cosht −P ′ 0 sinht)2 |A(t)|2 ]
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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.