Solitons and fractional statistics

Abstract

Solitons in the continuum limit of the Calogero model are derived and shown to correspond to one-particle excitations. The statistical mechanics of exclusion statistics particles is then formulated in terms of a priori probabilities and a path integral is thereoff constructed. (Talk delivered at the Trieste April 1995 Conference on statistical mechanics and QFT and at the Oslo August 1995 Worskhop on low-dimensional systems.)

7 pages, Latex, no figures; References corrected

References in corpus (5)

• Equation of State of an Anyon Gas in a Strong Magnetic Field
• Waves and Solitons in the Continuum Limit of the Calogero-Sutherland Model
• Density Correlation Functions in Calogero Sutherland Models
• Solitons in the Calogero-Sutherland Collective-Field Model
• Many-body States and Operator Algebra for Exclusion Statistics

Cited by in corpus (3)

• Jacobson generators, Fock representations and statistics of sl(n+1)
• Traveling waves & finite gap potentials for the Calogero-Sutherland Derivative nonlinear Schrödinger equation
• Derivation of a statistical model for classical systems obeying fractional exclusion principle