Number of the records: 1  

Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons

  1. 1.
    0353220 - ÚJF 2011 RIV US eng J - Journal Article
    Correa, F. - Falomir, H. - Jakubský, Vít - Plyushchay, M. S.
    Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons.
    Annals of Physics. Roč. 325, č. 12 (2010), s. 2653-2667. ISSN 0003-4916. E-ISSN 1096-035X
    R&D Projects: GA MŠMT LC06002
    Institutional research plan: CEZ:AV0Z10480505
    Keywords : Supersyminetry * Aharonov-Bohm effect * Anyons
    Subject RIV: BE - Theoretical Physics
    Impact factor: 2.919, year: 2010

    The quantum non-relativistic spin-1/2 planar systems in the presence of a perpendicular magnetic field are known to possess the N = 2 supersymmetry. We consider such a system in the field of a magnetic vortex, and find that there are just two self-adjoint extensions of the Hamiltonian that are compatible with the standard N = 2 supersymmetry. We show that only in these two cases one of the subsystems coincides with the original spinless Aharonov-Bohm model and comes accompanied by the super-partner Hamiltonian which allows a singular behavior of the wave functions. We find a family of additional, nonlocal integrals of motion and treat them together with local supercharges in the unifying framework of the tri-supersymmetry.
    Permanent Link: http://hdl.handle.net/11104/0192526

     
     
Number of the records: 1  

  This site uses cookies to make them easier to browse. Learn more about how we use cookies.