q-def oscillator associated with Calogero model and its q-coherent state

Abstract

We present the q-deformed ^M para-bose oscillators associated with (two-body) Calogero model.^M q-deformed coherent state is also constructed and its resolution of unity ^M is demonstrated.

arXiv comment22, snutp 93-83

References in corpus (4)

• Exchange Operator Formalism for Integrable Systems of Particles
• Explicit Solution to the N-Body Calogero Problem
• The Calogero Model - Anyonic Representation, Fermionic Extension and Supersymmetry
• Path Integrals for Quantum Algebras and the Classical Limit

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• The q-Deformed Oscillator Representations and Their Coherent States of the su(1,1) Algebra
• Unitarizable Representations of the Deformed Para-Bose Superalgebra Uq[osp(1/2)] at Roots of 1
• q-Deformation of W(2,2) Lie algebra associated with quantum groups
• k-Component q-deformed charge coherent states and their nonclassical properties
• Deformed Algebras from Inverse Schwinger Method