School and Conference on Modern Mathematical Physics

9 - 14 September 2019, Belgrade, Serbia


    Main page

    General information 


    Conference venue





    Payment instructions

    Travel and visas


    Practical information


    Previous meetings 




    E-mail: mphys10@ipb.ac.rs


Francesco Toppan

New issues in superconformal quantum mechanics

Superconformal quantum mechanics and the associated DFF deformed oscillators are recovered from spectrum generating superalgebras. Alternative choices of Hilbert spaces as direct sums of lowest weight representations are discussed. A 3D model with spin-orbit interaction and dependent on a real deformation parameter is explicitly solved. It presents unexpected features: a recursive pattern of vacuum energy in function of the deformation parameter; the degeneracy of the energy eigenstates interpolates between two different regimes, an effective 2d oscillator at low energy and a 3d oscillator at higher energy.


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics (University of Belgrade)
Belgrade, Serbia
Mathematical Institute (Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science (University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia


Institute of Nuclear Sciences "VinĨa" (University of Belgrade)
Belgrade, Serbia
Institute of Physics (University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics (University of Belgrade)
Belgrade, Serbia
Faculty of Sciences (University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering (University of Belgrade)
Belgrade, Serbia
SEENET-MTP (Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia