Magnetic fingerprints on the spectra of one-electron and two-electrons interacting in parabolic quantum dots

TL;DR

This paper investigates how magnetic fields influence the energy spectra of one and two electrons in parabolic quantum dots, considering interactions with ions and between electrons, using a pseudoperturbative method.

Contribution

It introduces a pseudoperturbative approach to analyze magnetic fingerprints in quantum dot spectra, aligning well with previous series solutions and extending to higher excited states.

Findings

Magnetic fields significantly alter electron spectra in quantum dots.

The method shows excellent agreement with prior series solutions.

Higher excited states are successfully characterized.

Abstract

Magnetic fingerprints on the spectra of an interacting electron with a negatively charged ion in a parabolic quantum dot (QD), and of two interacting electrons in such a dot, are investigated via a pseudoperturbative methodical proposal. The effect of ion-electron and electron-electron interactions on the spectra are studied. The effect of the symmetry of such problem is emphasized. Compared to those obtained by Zhu et al. [6], via a series solution, the results are found in excellent accord. Higher excited - states are also reported.