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

Abstract

An integrable model for SU() 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 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.

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