Počet záznamů: 1
Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
0353220 - UJF-V 2011 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠk LC06002
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: Supersyminetry * Aharonov-Bohm effect * Anyons
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 2.919, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0192526