Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-02-03
Nucl.Phys. B552 (1999) 677-706
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, revtex, 3 eps figures included
Scientific paper
10.1016/S0550-3213(99)00277-1
The quantum mechanics and thermodynamics of SU(2) non-Abelian Chern-Simons particles (non-Abelian anyons) in an external magnetic field are addressed. We derive the N-body Hamiltonian in the (anti-)holomorphic gauge when the Hilbert space is projected onto the lowest Landau level of the magnetic field. In the presence of an additional harmonic potential, the N-body spectrum depends linearly on the coupling (statistics) parameter. We calculate the second virial coefficient and find that in the strong magnetic field limit it develops a step-wise behavior as a function of the statistics parameter, in contrast to the linear dependence in the case of Abelian anyons. For small enough values of the statistics parameter we relate the N-body partition functions in the lowest Landau level to those of SU(2) bosons and find that the cluster (and virial) coefficients dependence on the statistics parameter cancels.
Isakov Serguei B.
Lozano Gustavo
Ouvry Stéphane
No associations
LandOfFree
Non-Abelian Chern-Simons Particles in an External Magnetic Field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Non-Abelian Chern-Simons Particles in an External Magnetic Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Abelian Chern-Simons Particles in an External Magnetic Field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-147904