We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis variational method we compute the wave function and the energy level and show how it depends on the magnetic field strength. We compare the results with those obtained numerically as well as in the non-relativistic limit.
- Dirac equations
- Two-dimensional relativistic hydrogen atom
- Variational methods
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Condensed Matter Physics