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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en)
Title	Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons (en)
skos:prefLabel	Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons (en)
skos:notation	RIV/61389005:_____/10:00353220!RIV11-MSM-61389005
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika	12
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Jakubský, Vít
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	291073
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/10:00353220
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Supersyminetry; Aharonov-Bohm effect; Anyons (en)
http://linked.open.../riv/klicoveSlovo	Anyons Supersyminetry Aharonov-Bohm effect
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[78B6DA2FD59A]
http://linked.open...i/riv/nazevZdroje	Annals of Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	325
http://linked.open...iv/tvurceVysledku	Jakubský, Vít Plyushchay, M. S. Correa, F. Falomir, H.
http://linked.open...ain/vavai/riv/wos	000284659400003
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	0003-4916
number of pages	15 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons

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