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

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 compa...

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Detalles Bibliográficos
Autores principales: Correa, Francisco, Falomir, Horacio Alberto, Jakubský, Vít, Plyushchay, Mikhail S.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2010
Materias:
Ciencias Exactas
Física
Supersymmetry
Aharonov–Bohm effect
Anyons
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132066
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132066
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Supersymmetry
Aharonov–Bohm effect
Anyons
spellingShingle Ciencias Exactas
Física
Supersymmetry
Aharonov–Bohm effect
Anyons
Correa, Francisco
Falomir, Horacio Alberto
Jakubský, Vít
Plyushchay, Mikhail S.
Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
topic_facet Ciencias Exactas
Física
Supersymmetry
Aharonov–Bohm effect
Anyons
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 inclusion of the dynamical conformal symmetries leads to an infinitely generated superalgebra, that contains several representations of the superconformal osp(2∣2) symmetry. We present the application of the results in the framework of the two-body model of identical anyons. The nontrivial contact interaction and the emerging N = 2 linear and nonlinear supersymmetries of the anyons are discussed.
format Articulo
Articulo
author Correa, Francisco
Falomir, Horacio Alberto
Jakubský, Vít
Plyushchay, Mikhail S.
author_facet Correa, Francisco
Falomir, Horacio Alberto
Jakubský, Vít
Plyushchay, Mikhail S.
author_sort Correa, Francisco
title Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title_short Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title_full Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title_fullStr Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title_full_unstemmed Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
title_sort supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/132066
work_keys_str_mv AT correafrancisco supersymmetriesofthespin12particleinthefieldofmagneticvortexandanyons
AT falomirhoracioalberto supersymmetriesofthespin12particleinthefieldofmagneticvortexandanyons
AT jakubskyvit supersymmetriesofthespin12particleinthefieldofmagneticvortexandanyons
AT plyushchaymikhails supersymmetriesofthespin12particleinthefieldofmagneticvortexandanyons
bdutipo_str Repositorios
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