2011/02/22 by Rubén Cordero, Ruben Cordero, Hugo Garcia-Compean +2 · 34 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Canonical quantization #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #De Sitter universe #Dilaton #Mathematical physics #Mathematics #Minisuperspace #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Theoretical physics #Universe #Wigner distribution function #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.83.125030
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 83(12) (American Physical Society) · 37 pages, 16 figures
arxiv created 2011/02/22 · openalex publication_date 2011/06/27 · arxiv updated 2011/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Weyl-Wigner-Groenewold-Moyal formalism of deformation quantization is applied to cosmological models in the minisuperspace. The quantization procedure is performed explicitly for quantum cosmology in a flat minisuperspace. The de Sitter cosmological model is worked out in detail and the computation of the Wigner functions for the Hartle-Hawking, Vilenkin and Linde wave functions are done numerically. The Wigner function is analytically calculated for the Kantowski-Sachs model in (non)commutative quantum cosmology and for string cosmology with dilaton exponential potential. Finally, baby universes solutions are described in this context and the Wigner function is obtained.