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Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
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SYSNO ASEP 0353220 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons Author(s) Correa, F. (CL)
Falomir, H. (AR)
Jakubský, Vít (UJF-V) RID, ORCID, SAI
Plyushchay, M. S. (CL)Source Title Annals of Physics. - : Elsevier - ISSN 0003-4916
Roč. 325, č. 12 (2010), s. 2653-2667Number of pages 15 s. Language eng - English Country US - United States Keywords Supersyminetry ; Aharonov-Bohm effect ; Anyons Subject RIV BE - Theoretical Physics R&D Projects LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000284659400003 DOI 10.1016/j.aop.2010.06.005 Annotation 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2011
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