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Advisor(s)
Abstract(s)
In this paper, the problem of the self-adjointness for the case of a quantum
minisuperspace Hamiltonian retrieved from a Brans-Dicke (BD) action is
investigated. Our matter content is presented in terms of a perfect fluid, onto
which the Schutz's formalism will be applied. We use the von Neumann theorem
and the similarity with the Laplacian operator in one of the variables to
determine the cases where the Hamiltonian is self-adjoint and if it admits
self-adjoint extensions. For the latter, we study which extension is physically
more suitable.