Abstract:
We study the problem of a charged particle in the presence of a uniform magnetic field plus a vortex in noncommutative planar space considering the two possible non-commutative extensions of the corresponding hamiltonian, namely the "fundamental" and the "antifundamental" representations. Using a Fock space formalism we construct eigenfunctions and eigenvalues finding in each case half of the states existing in the ordinary space case. In the limit of θ 7rarr; 0 we recover the two classes of states found in ordinary space, relevant for the study of anyon physics.
Registro:
Documento: |
Artículo
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Título: | Particle-vortex dynamics in noncommutative space |
Autor: | Correa, D.H.; Moreno, E.F.; Aschaposnik, F.; Lozano, G.S. |
Filiación: | Departamento de Fisica, Universidad National de La Plata, C.C. 67, 1900 La Plata, Argentina Departamento de Física, FCEyN, Ciudad Universitaria, CP 1428, Buenos Aires, Argentina CICPBA, Argentina CONICET, Argentina
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Palabras clave: | Anyons; Field theories in lower dimensions; Non-commutative geometry |
Año: | 2001
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Volumen: | 5
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Número: | 11
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Página de inicio: | XXXXIV
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Página de fin: | 11
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Título revista: | Journal of High Energy Physics
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Título revista abreviado: | J. High Energy Phys.
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ISSN: | 10298479
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v5_n11_pXXXXIV_Correa |
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Citas:
---------- APA ----------
Correa, D.H., Moreno, E.F., Aschaposnik, F. & Lozano, G.S.
(2001)
. Particle-vortex dynamics in noncommutative space. Journal of High Energy Physics, 5(11), XXXXIV-11.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v5_n11_pXXXXIV_Correa [ ]
---------- CHICAGO ----------
Correa, D.H., Moreno, E.F., Aschaposnik, F., Lozano, G.S.
"Particle-vortex dynamics in noncommutative space"
. Journal of High Energy Physics 5, no. 11
(2001) : XXXXIV-11.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v5_n11_pXXXXIV_Correa [ ]
---------- MLA ----------
Correa, D.H., Moreno, E.F., Aschaposnik, F., Lozano, G.S.
"Particle-vortex dynamics in noncommutative space"
. Journal of High Energy Physics, vol. 5, no. 11, 2001, pp. XXXXIV-11.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v5_n11_pXXXXIV_Correa [ ]
---------- VANCOUVER ----------
Correa, D.H., Moreno, E.F., Aschaposnik, F., Lozano, G.S. Particle-vortex dynamics in noncommutative space. J. High Energy Phys. 2001;5(11):XXXXIV-11.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10298479_v5_n11_pXXXXIV_Correa [ ]