Triangle Seminars
Tuesday, 11 Oct 2011
Forcing, independence, Plato and multiuniverses of set theory
Mirna Dzamonja
(University of East Anglia)
Abstract:
We shall talk generally about the state of the art in set theory and try to explain to what extent the independence results in set theory influence our understanding of mathematical foundations. The talk will start rather generally and will build up to describe some current research directions.
We shall talk generally about the state of the art in set theory and try to explain to what extent the independence results in set theory influence our understanding of mathematical foundations. The talk will start rather generally and will build up to describe some current research directions.
Posted by: KCL
Wednesday, 12 Oct 2011
Non-Hermitian Hamiltonian systems and antilinear deformations of integrable systems
๐ London
Andreas Fring
(City University)
Abstract:
I will provide a brief general introduction into non-Hermitian Hamiltonian systems with real eigenvalue spectra, arguing that they represent well defined self consistent physical systems. Such type of models possess usually an antilinear symmetry, as for instance PT-invariance (simultaneous parity and time reversal) and/or are quasi/pseudo Hermitian. Most crucial is that they allow for a consistent quantum mechanical framework possessing a unitary time evolution. The general framework will be applied to some integrable models, such a quantum spin chains, classical integrable systems associated to differential equations and Calogero-Moser-Sutherland models. I will present some recent results.
I will provide a brief general introduction into non-Hermitian Hamiltonian systems with real eigenvalue spectra, arguing that they represent well defined self consistent physical systems. Such type of models possess usually an antilinear symmetry, as for instance PT-invariance (simultaneous parity and time reversal) and/or are quasi/pseudo Hermitian. Most crucial is that they allow for a consistent quantum mechanical framework possessing a unitary time evolution. The general framework will be applied to some integrable models, such a quantum spin chains, classical integrable systems associated to differential equations and Calogero-Moser-Sutherland models. I will present some recent results.
Posted by: KCL
Generic String/M theory predictions for the LHC and Dark Matter
๐ London
Bobby Acharya
(KCL)