Particle-vortex dynamics in noncommutative space | Zendy

Diego H. Correa | Zendy; G. Lozano | Zendy; E. F. Moreno | Zendy; F Schaposnik | Zendy

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Particle-vortex dynamics in noncommutative space

Author(s) -

Diego H. Correa,

G. Lozano,

E. F. Moreno,

F Schaposnik

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/11/034

Subject(s) - noncommutative geometry , anyon , fock space , vortex , eigenfunction , eigenvalues and eigenvectors , hamiltonian (control theory) , commutative property , physics , mathematical physics , formalism (music) , quantum mechanics , noncommutative quantum field theory , classical mechanics , mathematics , topological quantum computer , pure mathematics , art , mathematical optimization , musical , visual arts , quantum , thermodynamics

We study the problem of a charged particle in the presence of a uniformmagnetic field plus a vortex in noncommutative planar space considering the twopossible non-commutative extensions of the corresponding Hamiltonian, namelythe ``fundamental'' and the ``antifundamental'' representations. Using a Fockspace formalism we construct eigenfunctions and eigenvalues finding in eachcase half of the states existing in the ordinary space case. In the limit of$\theta \to 0$ we recover the two classes of states found in ordinary space,relevant for the study of anyon physics.Comment: 13 pages, no figures, plain LaTeX. References adde

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