Electronic structure of semiconductor quantum wells in a tilted magnetic field

The effective-mass envelope-function approximation for electrons in quantum wells in a tilted magnetic field leads to an inseparable two-dimensional Schrödinger equation. Several methods for direct numerical solution of this equation are compared. Also presented is a ‘‘reduced-basis’’ method that relies on some analytic considerations in order to reduce the computation effort significantly. The distributed Gaussians method and, within some restrictions, the reduced-basis method, were found to be the best choices. © 1996 The American Physical Society.