Erratum: Diffusion Monte Carlo study of circular quantum dots

TL;DR

This paper corrects previous energy calculations for circular quantum dots, confirming Hund's rule for all cases with improved data accuracy.

Contribution

It provides corrected energy tables for quantum dots, ensuring accurate symmetry and energy transcriptions, and confirms Hund's rule applicability.

Findings

Corrected energy values for quantum dots with various N

Verification that Hund's rule holds for all N in the studied potential

Clarification of state symmetries and degeneracies

Abstract

Several of the energies in Tables I and II of our previous paper are incorrect. Most of the errors are due to incorrectly inputting the symmetry of some of the states, others are due to incorrectly converting or transcribing the energies. In particular, for N=4 we had a near degeneracy and a violation of Hund's first rule. The corrected result has $|L=0,S=1>$ as the ground state, as predicted by Hund's rule. Hund's first rule is satisfied for all $N$ for the confining potential used. We present corrected versions of Tables I and II.