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Nonadiabatic bounce in quantum cosmology

In: Physical and Mathematical Aspects of Symmetries

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  • Przemysław Małkiewicz

    (National Centre for Nuclear Research)

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.

Suggested Citation

  • Przemysław Małkiewicz, 2017. "Nonadiabatic bounce in quantum cosmology," Springer Books, in: Sergio Duarte & Jean-Pierre Gazeau & Sofiane Faci & Tobias Micklitz & Ricardo Scherer & Francesco To (ed.), Physical and Mathematical Aspects of Symmetries, pages 245-252, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-69164-0_37
    DOI: 10.1007/978-3-319-69164-0_37
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