2016/08/31 by C. R. Almeida, Carla R. Almeida, Antonio B. Batista +5 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Formalism (music) #Hamiltonian (control theory) #Hamiltonian formalism #Laplace operator #Noncommutative and Quantum Gravity Theories #Quantum #Quantum cosmology #Quantum field theory #Von Neumann architecture #gr-qc #hep-th
paper · pdf · doi:10.1063/1.4979537
published in Journal of Mathematical Physics 58(4) (American Institute of Physics) · Latex file, 12 pages. Small changes made in the paper, and a a new appendix added
openalex created_date 2016/09/16 · arxiv created 2016/12/09 · openalex publication_date 2017/04/01 · arxiv updated 2017/04/26 · openalex updated_date 2026/08/05
In this paper, the problem of the self-adjointness for the case of a quantum mini-superspace Hamiltonian retrieved from a Brans-Dicke action is investigated. Our matter content is presented in terms of a perfect fluid, onto which 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.