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 and a generalization of virial theorem, which consists in scaling the wave function, we calculate the binding energies 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 very good behavior in the weak and strong magnetic field regimes.
|Original language||English (US)|
|Number of pages||9|
|Journal||Physica Status Solidi (B) Basic Research|
|State||Published - Feb 1999|
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics