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

TL;DR

This paper introduces a renormalized harmonic oscillator framework to analyze the spectrum of confined SU(nu) electrons with inverse-square interactions, allowing systematic study of excitations and ground states.

Contribution

It presents a novel renormalized harmonic oscillator method that incorporates interaction effects through energy level repulsion for confined electron systems.

Findings

Developed a new spectrum description using renormalized oscillators.

Enabled systematic analysis of excitation spectra and ground-state properties.

Provided insights into the effects of inverse-square interactions in confined systems.

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.