Outline of Lecture

1. Schrödinger-Poisson solvers
   1. Major concerns for future integrated circuits
   2. Time-dependent Schrödinger wave equation
   3. Discretization for variable effective mass
   4. Time-independent Schrödinger equation
   5. Airy function method
   6. Variational approach
   7. Shooting method for 1D problem - SCHRED program description
   8. Finding the roots of a characteristic polynomial
   9. The Lanczos algorithm
   10. Numerov algorithm
   11. 2D and 3D eigenvalue solvers
   12. Open systems
2. The effective potential approach
   1. Madelung and Bohm's reformulation of quantum mechanics
   2. Other quantum potential formulations
   3. Effective potential approach due to Ferry
   4. Simulation examples
   5. Conclusions

Lecture 1

Lab Exercises