A novel realization of the Calogero-Moser scattering states as coherent states

Abstract

A novel realization is provided for the scattering states of the $N$-particle Calogero-Moser Hamiltonian. They are explicitly shown to be the coherent states of the singular oscillators of the Calogero-Sutherland model. Our algebraic treatment is straightforwardly extendable to a large number of few and many-body interacting systems in one and higher dimensions.

9 pages, REVTeX

References in corpus (6)

• Equivalence of the Calogero-Sutherland Model to Free Harmonic Oscillators
• Exactly Solvable Models in Arbitrary Dimensions
• Connection between Calogero-Marchioro-Wolfes type few-body models and free oscillators
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• A Unified Algebraic Approach to Few and Many-Body Hamiltonians having Linear Spectra
• Jack polynomials, generalized binomial coefficients and polynomial solutions of the generalized Laplace's equation

Cited by in corpus (7)

• Coherent states for exactly solvable potentials
• Free harmonic oscillators, Jack polynomials and Calogero-Sutherland systems
• Solitons and giants in matrix models
• Duality and quasiparticles in the Calogero-Sutherland model: Some exact results
• Coherent state of the effective mass harmonic oscillator
• Duality and interacting families in models with the inverse-squared interaction
• Heisenberg Symmetry and Collective Modes of One Dimensional Unitary Correlated Fermions