A new method for solving the ground-state problem in arbitrary quantum wells: Application to electron-hole quasi-bound levels in quantum wells under high electric field

A method based on the Monte Carlo technique and variational principle is developed to study the ground-state problem in arbitrary quantum wells. A technique is described to use this method to study quasi-bound states in systems. The method is applied to AlGaAs/GaAs quantum wells subjected to high electric fields. Advantages of this approach over the conventional variational approach are identified.