Many-body States and Operator Algebra for Exclusion Statistics

Abstract

We discuss many-body states and the algebra of creation and annihilation operators for particles obeying exclusion statistics.

14 pages, plainTex. The first few pages have been modified. Note and references added. (This version will appear in Nucl. Phys. B.)

References in corpus (4)

• Exact Dynamical Correlation Functions of Calogero-Sutherland Model and One-Dimensional Fractional Statistics
• Equation of State of an Anyon Gas in a Strong Magnetic Field
• Haldane exclusion statistics and second virial coefficient
• Density Correlation Functions in Calogero Sutherland Models

Cited by in corpus (15)

• Kinetic Approach to Fractional Exclusion Statistics
• Many-Body Wigner Quantum Systems
• Macroscopic properties of A-statistics
• Exclusion statistics,operator algebras and Fock space representations
• Partition function for general multi-level systems
• Fock representations of the superalgebra sl(n+1|m), its quantum analogue U_q[sl(n+1|m)] and related quantum statistics
• Highest weight irreducible representations of the quantum algebra $U_h(A_{\infty })$
• A description of the quantum superalgebra $U_q[sl(n+1|m)]$ via creation and annihilation generators
• Unification of parastatistics defined as triple operator algebras
• Solitons and fractional statistics
• Turning Bosons into Fermions: Exclusion Statistics, Fractional Statistics and the Simple Harmonic Oscillator
• A Parafermionic Generalization of the Jaynes Cummings Model
• A Dyson realization and a Holstein-Primakoff realization for the quantum superalgebra $U_q[gl(n/m)]$
• Generalized exclusion and Hopf algebras
• Many-body constraints and non-thermal behavior in 1D open systems with Haldane exclusion statistics