Energy spectrum of strongly correlated particles in quantum dots

TL;DR

This paper investigates the energy spectrum of strongly correlated electrons in quantum dots, providing an analytical solution through exact diagonalization of the Hamiltonian in terms of N-particle eigenmodes.

Contribution

It introduces an analytical method for determining the ground state and excitation spectrum of strongly correlated electrons in quantum dots.

Findings

Analytical expressions for energy spectra derived.

Exact diagonalization approach validated.

Insights into electron correlations in quantum dots obtained.

Abstract

The ground state and the excitation spectrum of strongly correlated electrons in quantum dots are investigated. An analytical solution is constructed by exact diagonalization of the Hamiltonian in terms of the $N$-particle eigenmodes.