 Nonadiabatic bounce in quantum cosmologyPrzemysław Małkiewicz ()
A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 245-252 from Springer Abstract: Abstract We quantize and analyze the dynamics of the closed homogeneous and anisotropic universe, the so-called Bianchi type IX model. The isotropic part of the geometry is encoded in the phase space which is the half-plane, and its underlying symmetry is the affine group rather than the Weyl-Heisenberg group. We make use of affine coherent states first to quantize the half-plane and next to give a semiclassical portrait to the respective quantum dynamics. The anisotropic part of the geometry is encoded in the usual R2-phase space and is quantized canonically. In order to solve the quantum dynamics we employ both adiabatic and nonadiabatic methods known from molecular physics.We find that the big bang singularity of the classical dynamics is replaced by a smooth bounce at the quantum level. Moreover,in the adiabatic regime, the oscillations of the anisotropic geometry are suppressed and the universe contracts smoothly. In the nonadiabatic regime, the bounce breaks the adiabatic evolution and triggers an extended post-bounce inflationary phase accompanied by production of quanta of the anisotropic geometry. Date: 2017 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_37 Ordering information: This item can be ordered from DOI: 10.1007/978-3-319-69164-0_37 Access Statistics for this chapter More chapters in Springer Books from Springer |
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