Speaker
Todor Popov
(Bulgarian Academy of Sciences / American University of Bulgaria)
Description
Jordan algebras were invented in a search of an axiomatic system for quantum mechanics.
They turn out to be extremely effective in describing conformal symmetries via the Tits-Kantor-Koecher construction assigning a light cone to each Euclidean Jordan algebra.
Using the Gunaydin oscillator realization we construct quantum mechanics systems with hidden
conformal symmetry in various dimensions such as Hydrogen atom, Dyon-Dyon system, Landau problem.
Primary author
Todor Popov
(Bulgarian Academy of Sciences / American University of Bulgaria)
