Finite-size anyons and perturbation theory

Abstract

We address the problem of finite-size anyons, i.e., composites of charges and finite radius magnetic flux tubes. Making perturbative calculations in this problem meets certain difficulties reminiscent of those in the problem of pointlike anyons. We show how to circumvent these difficulties for anyons of arbitrary spin. The case of spin 1/2 is special because it allows for a direct application of perturbation theory, while for any other spin, a redefinition of the wave function is necessary. We apply the perturbative algorithm to the N-body problem, derive the first-order equation of state and discuss some examples.

18 pages (RevTex) + 4 PS figures (all included); a new section on equation of state added

References in corpus (7)

• On the Electromagnetic Interactions of Anyons
• On $\delta$ perturbative interactions in the Aharonov-Bohm and Anyon Models
• Magnetic Moment and Perturbation Theory with Singular Magnetic Fields
• Perturbative Renormalizations of Anyon Quantum Mechanics
• Perturbation Theory and the Aharonov-Bohm Effect
• Anomalous Magnetic Moment of Anyons
• Quantum Mechanics and Thermodynamics of Particles with Distance Dependent Statistics

Cited by in corpus (9)

• Emergence of fractional statistics for tracer particles in a Laughlin liquid
• Many-anyon trial states
• Exclusion bounds for extended anyons
• A Quantum Impurity Model for Anyons
• Magnetic Perturbations of Anyonic and Aharonov-Bohm Schrödinger Operators
• Some contributions to many-body quantum mathematics
• Quantum Mechanics of a Particle with Two Magnetic Impurities
• Schrödinger operators with multiple Aharonov-Bohm fluxes
• Semiclassical limit for almost fermionic anyons