• Corpus ID: 119420717

Classical and Quantum Mechanics of Anyons

  title={Classical and Quantum Mechanics of Anyons},
  author={Ghanashyam Date and M. V. N. Murthy and Radhika Vathsan},
  journal={arXiv: Condensed Matter},
We review aspects of classical and quantum mechanics of many anyons confined in an oscillator potential. The quantum mechanics of many anyons is complicated due to the occurrence of multivalued wavefunctions. Nevertheless there exists, for arbitrary number of anyons, a subset of exact solutions which may be interpreted as the breathing modes or equivalently collective modes of the full system. Choosing the three-anyon system as an example, we also discuss the anatomy of the so called “missing… 
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Contents: Introduction.- The Mechanics of Lagrange.- The Mechanics of Hamilton and Jacobi.- Integrable Systems.- The Three-Body Problem: Moon-Earth-Sun.- Three Methods of Section.- Periodic Orbits.-
Anyons: Quantum Mechanics of Particles with Fractional Statistics
to Fractional Statistics in Two Dimensions.- Fractional Statistics in the Chern-Simons Gauge.- Fractional Statistics in the Anyon Gauge.- Non-relativistic Chern-Simons Field Theory.- Anyons in a
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Fractional statistics in two dimensions quantum mechanics of anyons statistical mechanics of anyon gas fractional exclusion statistics introduction to Chern-Simons term anyon as soliton in field
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Introduction Foreward by Tudor Ratiu and Richard Cushman Preliminaries Differential Theory Calculus on Manifolds Analytical Dynamics Hamiltonian and Lagrangian Systems Hamiltonian Systems with
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Part 1 Newtonian mechanics: experimental facts investigation of the equations of motion. Part 2 Lagrangian mechanics: variational principles Lagrangian mechanics on manifolds oscillations rigid