Analytic computation of the energy levels of a two-dimensional hydrogenic donor in a constant magnetic field

Victor M. Villalba; Ramiro Pino

doi:10.1088/0031-8949/58/6/010

Analytic computation of the energy levels of a two-dimensional hydrogenic donor in a constant magnetic field

Victor M. Villalba, Ramiro Pino

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10 Scopus citations

Abstract

We compute the energy levels of a 2D Hydrogen atom when a constant magnetic field is applied. With the help of a mixed-basis variational method, we calculate the energy eigenvalues of the 1S, 2P^- and 3D^- levels. We compare the computed energy spectra with those obtained via a generalization of the mesh point technique as well as the shifted 1/N method. We show that the variational solutions present a good behavior in the weak and strong magnetic field regimes.

Original language	English (US)
Pages (from-to)	605-607
Number of pages	3
Journal	Physica Scripta
Volume	58
Issue number	6
DOIs	https://doi.org/10.1088/0031-8949/58/6/010
State	Published - 1998

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics

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title = "Analytic computation of the energy levels of a two-dimensional hydrogenic donor in a constant magnetic field",

abstract = "We compute the energy levels of a 2D Hydrogen atom when a constant magnetic field is applied. With the help of a mixed-basis variational method, we calculate the energy eigenvalues of the 1S, 2P- and 3D- levels. We compare the computed energy spectra with those obtained via a generalization of the mesh point technique as well as the shifted 1/N method. We show that the variational solutions present a good behavior in the weak and strong magnetic field regimes.",

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AU - Villalba, Victor M.

AU - Pino, Ramiro

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N2 - We compute the energy levels of a 2D Hydrogen atom when a constant magnetic field is applied. With the help of a mixed-basis variational method, we calculate the energy eigenvalues of the 1S, 2P- and 3D- levels. We compare the computed energy spectra with those obtained via a generalization of the mesh point technique as well as the shifted 1/N method. We show that the variational solutions present a good behavior in the weak and strong magnetic field regimes.

AB - We compute the energy levels of a 2D Hydrogen atom when a constant magnetic field is applied. With the help of a mixed-basis variational method, we calculate the energy eigenvalues of the 1S, 2P- and 3D- levels. We compare the computed energy spectra with those obtained via a generalization of the mesh point technique as well as the shifted 1/N method. We show that the variational solutions present a good behavior in the weak and strong magnetic field regimes.

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Analytic computation of the energy levels of a two-dimensional hydrogenic donor in a constant magnetic field

Abstract

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