Scaled Variational Computation of the Energy Spectrum of a Two-Dimensional Hydrogenic Donor in a Magnetic Field of Arbitrary Strength

✍ Scribed by R. Pino; V. M. Villalba

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 176 KB
• Volume: 211
• Category: Article
• ISSN: 0370-1972
• DOI: 10.1002/(sici)1521-3951(199902)211:2<641::aid-pssb641>3.0.co;2-y

✦ Synopsis

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 À and 3D À levels. We compare the computed energy spectra with those obtained via a generalization of the mesh point technique as well as the shifted 1aN method. We show that the variational solutions present a very good behavior in the weak and strong magnetic field regimes.