Analytic computation of the quantum levels of a two-dimensional hydrogenic donor in the presence of a constant magnetic field of arbitrary strength

Víctor M. Villalba; Ramiro Pino

Analytic computation of the quantum levels of a two-dimensional hydrogenic donor in the presence of a constant magnetic field of arbitrary strength

Víctor M. Villalba, Ramiro Pino

Research output: Contribution to journal › Article › peer-review

Abstract

In this article we review different techniques for computing the energy spectrum of 2D hydrogenic donors and two-electron quantum dots in the presence of a constant, magnetic field perpendicular to the plane of the electron. We compute the 1S, 2P^- and 3D^- energy levels via a scaled variational mixed-bases method. We compare our results with those obtained with the shifted 1/N method.

Original language	English (US)
Pages (from-to)	24-29
Number of pages	6
Journal	Revista Mexicana de Fisica
Volume	47
Issue number	SUPPL. 1
State	Published - Mar 2001

Keywords

Energy spectrum
Hydrogenic atoms
Quantum dots
Variational methods

ASJC Scopus subject areas

General Physics and Astronomy

Cite this

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abstract = "In this article we review different techniques for computing the energy spectrum of 2D hydrogenic donors and two-electron quantum dots in the presence of a constant, magnetic field perpendicular to the plane of the electron. We compute the 1S, 2P- and 3D- energy levels via a scaled variational mixed-bases method. We compare our results with those obtained with the shifted 1/N method.",

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AU - Pino, Ramiro

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N2 - In this article we review different techniques for computing the energy spectrum of 2D hydrogenic donors and two-electron quantum dots in the presence of a constant, magnetic field perpendicular to the plane of the electron. We compute the 1S, 2P- and 3D- energy levels via a scaled variational mixed-bases method. We compare our results with those obtained with the shifted 1/N method.

AB - In this article we review different techniques for computing the energy spectrum of 2D hydrogenic donors and two-electron quantum dots in the presence of a constant, magnetic field perpendicular to the plane of the electron. We compute the 1S, 2P- and 3D- energy levels via a scaled variational mixed-bases method. We compare our results with those obtained with the shifted 1/N method.

KW - Energy spectrum

KW - Hydrogenic atoms

KW - Quantum dots

KW - Variational methods

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Analytic computation of the quantum levels of a two-dimensional hydrogenic donor in the presence of a constant magnetic field of arbitrary strength

Abstract

Keywords

ASJC Scopus subject areas

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