• Feb 15 2012

    NITheP Stellenbosch Node Seminar

    Prof Francesco Toppan (CBPF)

    NITheP cordially invites you to a seminar by:

    Prof Francesco Toppan (CBPF)

    Date: Wednesday 15th of February 2012
    Time: 14:00
    Venue: NITheP Stellenbosch Seminar room

    TITLE: Deformed Quantization and Hopf Algebras

    ABSTRACT: Deformed Quantization is discussed in the framework of the Drinfeld twist of Hopf algebras, possessing a dimensional deformation parameter.
    The recently constructed "Unfolded Quantization",consistent with the required physical interpretation of the Hopf algebra coproduct, is discussed.
    Constant non-commutative theories are recovered from an abelian twist.
    The non-abelian Jordanian twist of sl(2) induces for an "unfolded dynamical Lie algebra" a Snyder type non-commutativity. The deformed Hamiltonian is non-Hermitian; nevertheless it belongs to the class of eta-type pseudo-Hermitian Hamiltonians and therefore admits a consistent interpretation in terms of quantum measure and associated probability theory.
    Envisaged applications concern effective low-order approximations of Quantum Gravity with the dimensional deformation parameter identified with the Planck mass.

    Enquiries: Prof FG Scholtz
    Tel: 021 808 3871
    Email: fgs@sun.ac.za

    Please see PDF with lecture notes and also visit http://iopscience.iop.org/1742-6596/343/1/012123 for more information

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