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Feb 15 2012
NITheP Stellenbosch Node Seminar
Prof Francesco Toppan (CBPF)
NITheP cordially invites you to a seminar by:
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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
contact
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- Rene Kotze
National Institute for Theoretical Physics
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- Paula Marais
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School of Physics
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JHB
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Durban
4000
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