Algebra of Observables for Identical Particles in One Dimension

Abstract

The algebra of observables for identical particles on a line is formulated starting from postulated basic commutation relations. A realization of this algebra in the Calogero model was previously known. New realizations are presented here in terms of differentiation operators and in terms of SU(N)-invariant observables of the Hermitian matrix models. Some particular structure properties of the algebra are briefly discussed.

13 pages, Latex, uses epsf, 1 eps figure included

References in corpus (5)

• Exchange Operator Formalism for Integrable Systems of Particles
• Equation of State of an Anyon Gas in a Strong Magnetic Field
• The Calogero Model - Anyonic Representation, Fermionic Extension and Supersymmetry
• Interacting Fermion Systems from Two Dimensional QCD
• Algebra of one-particle operators for the Calogero model

Cited by in corpus (5)

• Dynamical symmetry algebra of the Calogero model
• Finite Chern-Simons matrix model - algebraic approach
• Algebra of the observables in the Calogero model and in the Chern-Simons matrix model
• Anyons, Deformed Oscillator Algebras and Projectors
• Generalized statistics and the algebra of observables