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

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

1998-08-26

arxiv.org/abs/cond-mat/9808294v1

Physics

Condensed Matter

RevTeX, 10 pages, 6 figures, to be published in Physica Scripta

Scientific paper

10.1088/0031-8949/58/6/010

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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