ENERGY SPECTRUM OF THE GROUND STATE OF A TWO-DIMENSIONAL RELATIVISTIC HYDROGEN ATOM IN THE PRESENCE OF A CONSTANT MAGNETIC FIELD-Reference-Cited by-同舟云学术

ENERGY SPECTRUM OF THE GROUND STATE OF A TWO-DIMENSIONAL RELATIVISTIC HYDROGEN ATOM IN THE PRESENCE OF A CONSTANT MAGNETIC FIELD

Published:2003-10-30 Issue:25 Volume:17 Page:1331-1341
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

VILLALBA VÍCTOR M.¹²,PINO RAMIRO³

Affiliation:

1. Institut für Theoretische Physik, Universität Frankfurt, D-60054 Frankfurt am Main, Germany

2. Centro de Física, Instituto Venezolano de Investigaciones Científicas, IVIC, Apdo 21827, Caracas 1020-A, Venezuela

3. Department of Chemistry, Rice University, MS60, Houston, TX77005-1892, USA

Abstract

We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis variational method we compute the wave function and the energy level and show how it depends on the magnetic field strength. We compare the results with those obtained numerically as well as in the non-relativistic limit.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984903006360

Reference21 articles.

1. The Quantum Hall Effect

2. Relativistic quantum Hall effect

3. Induced quantum numbers in a (2+1)-dimensional electron gas

4. Quantized magnetic susceptibility in (2+1)-dimensional gapless semiconductors

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