Fyzikální ústav Akademie věd ČR

Seminar Monday, 26/08/2013 15:00

Speakers: Prof. A. Nikitin (Institute of Mathematics of National Academy of Science of Ukraine)
Place: Institute of Physics, Na Slovance 2, Prague 8 / Second floor - room 226
Presented in English
Organisers: Department of Particle Theory and Phenomenology

Supersymmetric and superintegrable models of quantum mechanics with matrix potentials will be discussed. In particular, a countable set of exactly solvable quantum mechanical systems will be presented which admit a dynamical symmetry with respect to algebra o(4). This algebra is generated by the Runge-Lenz vector generalized to the case of arbitrary spin. The presented systems describe neutral particles with non-trivial multipole momenta. Their spectra can be found algebraically like in the case of Hydrogen atom. Solutions for the systems with spins 1/2 and 1 are presented explicitly, solutions for spin 3/2 are given in implicit form.