May 31, 2022 to June 2, 2022
Tours
Europe/Paris timezone

Jordan Algebras and Dynamical Conformal Symmetries

Jun 2, 2022, 11:00 AM
45m
Tours

Tours

Université de Tours 3 Rue des Tanneurs, 37041 Tours

Speaker

Todor Popov

Description

The Newton-Hooke duality between the 2D hydrogen atom and the Landau problem is explained via the Tits-Kantor-Koecher construction of the conformal symmetries of the Jordan algebra of real symmetric $2 \times 2$ matrices. The connection between the Landau problem and the 3D hydrogen atom is elucidated by the reduction of a Dirac spinor to a Majorana one in the Kustaanheimo-Stiefel spinorial regularization.

Primary author

Todor Popov

Presentation materials