Anyons in Electromagnetic Field and the BMT Equation

Abstract

The Lagrangian model for anyon, presented in [6], is extended to include interactions with external, homogeneous electromagnetic field. Explicit electric and magnetic moment terms for the anyon are introduced in the Lagrangian. The 2+1-dimensional BMT equation as well as the correct value (2) of the gyromagnetic ratio is rederived, in the Hamiltonian framework.

Latex file, 10 pages, GHC-TH/94-02

References in corpus (6)

• On the Electromagnetic Interactions of Anyons
• Spinning particles in $2+1$ dimensions
• Anyon in External Electromagnetic Field: Hamiltonian and Lagrangian Formulations
• Comment on "Anyon in an external electromagnetic field: Hamiltonian and Lagrangian formulations"
• Derivation of the Classical Lagrangian for the Relativistic Spinning Particle
• Polyakov's Spin Factor for a Classical Spinning Particle via BRST Invariant Path Integral

Cited by in corpus (25)

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• Bosons, fermions and anyons in the plane, and supersymmetry
• Lagrangian for Frenkel electron and position's non-commutativity due to spin
• Exotic galilean symmetry and non-commutative mechanics
• Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions
• Anyons with anomalous gyromagnetic ratio & the Hall effect
• A Novel "Magnetic" Field And Its Dual Non-Commutative Phase Space
• Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time
• Effective Field Theory for Noncommutative Spacetime: A Toy Model
• Relativistic Spinning Particle in a Non-Commutative Extended Spacetime
• Modelling a Noncommutative Two-Brane
• Spin Non-commutativity and the Three-Dimensional Harmonic Oscillator
• Spin Hall Effect For Anyons
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Interacting anyons and the Darwin Lagrangian
• Batalin-Tyutin Quantisation of the Spinning Particle Model
• Energy Spectrum of anyon in the Coulomb field
• Screening in Anyon Gas
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Constrained Dynamics of an Anomalous $(g/neq2)$ Relativistic Spinning Particle in Electromagnetic Background
• Hidden supersymmetry and Berezin quantization of N=2, D=3 spinning superparticles
• Planar Two-particle Coulomb Interaction: Classical and Quantum Aspects
• Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
• Uncertainty Relations for the Relativistic Jackiw-Nair Anyon: A First Principles Derivation
• Examples of Enhanced Quantization: Bosons, Fermions, and Anyons