A NOVEL FINITE-ELEMENT FORMULATION FOR THE ANALYSIS OF THE ENERGY-LEVELS OF A QUANTUM CAVITY IN A MAGNETIC-FIELD

A novel finite-element formulation for the analysis of the energy leve ls of a two-dimensional quantum cavity in a magnetic field is proposed . Our formulation is based on both a variational and Galerkin methods which, when combined with a finite-element method, lead to eigenvalue problems characterized by either real or Hermitian matrices contrary t o algorithms proposed in the past. These eigenvalue problems can then be solved quite efficiently on a computer using standard library packa ges. Also, it is confirmed that the results obtained here are independ ent of the choice of gauge.