[Todos] IAFE- SEMINARIOS CIENTÍFICOS: Miércoles 23 de Septiembre de 2015 a las 14:00 hs.

["Area Difusión IAFE"]

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                         SEMINARIOS CIENTÍFICOS
              Instituto de Astronomía y Física del Espacio
                                CONICET-UBA
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                    "SMOOTH BOUNCING FROM AFFINE QUANTIZATION"
                           JEAN PIERRE GAZEAU
            APC, UNIVERSITE DENIS DIDEROT, PARIS CBPF, RIO DE JANEIRO
                  Miércoles 23 de Septiembre de 2015 a las 14:00 hs.
                            Aula del Edificio IAFE


I will explain how we can deal with gravitational singularities on a
quantum level through the use of affine coherent state quantization
instead of canonical quantization. The method is first applied to toy
models like the particle motion on a half-line and then to the
Robertson-Walker metric coupled to a perfect fluid. The quantization
procedure is based on the use of one of the two unitary irreducible
representations of the affine group of the real line with positive
dilation. This representation allows to build affine coherent states. The
latter are also used to give a semi-classical portrait of the dynamics.
The main issue of our approach is the appearance of a quantum centrifugal
potential allowing for regularization of the singularity, essential
self-adjointness of the Hamiltonian, and unambiguous quantum dynamical
evolution. Recent applications to the quantization of Bianchi I, II and IX
models will be mentioned.