2012/08/24 by J. C. Fabris, F. T. Falciano, P. Vargas Moniz +2 · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Dilaton #Minisuperspace #Noncommutative and Quantum Gravity Theories #Quantum #Quantum Mechanics and Applications #Quantum cosmology #Quantum field theory #Scalar (mathematics) #Scalar field #Wave packet #Wheeler–DeWitt equation #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1007/s13538-012-0105-y
published in Brazilian Journal of Physics 42(5-6), 475-481 (Springer Science+Business Media) · 14 pages, 3 figures in eps format. Minors corrections, new figures
arxiv created 2012/08/24 · openalex publication_date 2012/11/13 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A quantum cosmological model with radiation and a dilaton scalar field is analysed. The Wheeler-deWitt equation in the mini-superspace induces a Schrödinger equation, which can be solved. An explicit wavepacket is constructed for a particular choice of the ordering factor. A consistent solution is possible only when the scalar field is a phantom field. Moreover, although the wavepacket is time dependent, a Bohmian analysis allows to extract a bouncing behaviour for the scale factor.