Calogero-Sutherland Type Models in Higher Dimensions

Abstract

We construct two different Calogero-Sutherland type models with only two-body interactions in arbitrary dimensions. We obtain some exact wave functions, including the ground states, of these two models for arbitrary number of spinless nonrelativistic particles.

RevTeX, 10 pages, few minor changes, version to appear in Physics Letters A

References in corpus (5)

• Exchange Operator Formalism for Integrable Systems of Particles
• Novel correlations in two dimensions: Some exact solutions
• Eigenfunctions for SU(N) particles with 1/r^2 interaction in harmonic confinement
• Novel Correlations in Arbitrary Dimensions
• On the Jastrow Wave Function for N-Particles on a Plane

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• Supersymmetric Extensions of Calogero--Moser--Sutherland like Models: Construction and Some Solutions
• A Unified Algebraic Approach to Few and Many-Body Correlated Systems
• Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom
• Relationship Between the Energy Eigenstates of Calogero-Sutherland Models With Oscillator and Coulomb-like Potentials
• Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions
• Supersymmetry and Models for Two Kinds of Interacting Particles
• Testing Hall-Post Inequalities With Exactly Solvable N-Body Problems
• Exact Ground State of Several N-body Problems With an N-body Potential
• 2D Calogero Model in the Collective-Field Approach