Exact Wavefunctions for non-Abelian Chern-Simons Particles

Abstract

Exact wavefunctions for N non-Abelian Chern-Simons (NACS) particles are obtained by the ladder operator approach. The same method has previously been applied to construct exact wavefunctions for multi-anyon systems. The two distinct base states of the NACS particles that we use are multi-valued and are defined in terms of path ordered line integrals. Only strings of operators that preserve the monodromy properties of these base states are allowed to act on them to generate new states.

19 pages, CALT-68-1875

References in corpus (5)

• Equation of State of an Anyon Gas in a Strong Magnetic Field
• Non-abelian vortices and non-abelian statistics
• Quantum symmetries in discrete gauge theories
• Anyons in discrete gauge theories with Chern-Simons terms
• Energy Spectrum of Anyons in a Magnetic Field

Cited by in corpus (5)

• Energy-pressure relation for low-dimensional gases
• Statistical Mechanics of an Ideal Gas of Non-Abelian Anyons
• Non-Abelian Chern-Simons Particles in an External Magnetic Field
• Exchange and exclusion in the non-abelian anyon gas
• Statistical Interparticle Potential of an Ideal Gas of Non-Abelian Anyons