Fock Representations of Quantum Fields with Generalized Statistic

Abstract

We develop a rigorous framework for constructing Fock representations of quantum fields obeying generalized statistics associated with certain solutions of the spectral quantum Yang-Baxter equation. The main features of these representations are investigated. Various aspects of the underlying mathematical structure are illustrated by means of explicit examples.

26 pages, TeX

Cited by in corpus (35)

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• One-body reduced density matrix of trapped impenetrable anyons in one dimension
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• Fock representations of the superalgebra sl(n+1|m), its quantum analogue U_q[sl(n+1|m)] and related quantum statistics
• Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations
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• Numerical results on Quantum Energy Inequalities in Integrable Models at the Two-Particle level
• Particles in Singular Magnetic Field
• Quantum resolution of the nonlinear super-Schrodinger equation
• Factorization in integrable systems with impurity
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• Quasi-free states on a class of algebras of multicomponent commutation relations