Renormalized Harmonic-Oscillator Description of Confined Electron Systems with Inverse-Square Interaction

Abstract

An integrable model for SU($\nu$) electrons with inverse-square interaction is studied for the system with confining harmonic potential. We develop a new description of the spectrum based on the {\it renormalized harmonic-oscillators} which incorporate interaction effects via the repulsion of energy levels. This approach enables a systematic treatment of the excitation spectrum as well as the ground-state quantities.

RevTex, 7 pages

References in corpus (2)

• Exchange Operator Formalism for Integrable Systems of Particles
• On Models with Inverse-Square Exchange

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