Table of Contents

PART I: INTRODUCTION TO THE FEM
1. Introduction
2. Simple quantum systems
3. Interpolation polynomials in one dimension
4. Adaptive FEM
Part II: 1D APPLICATIONS IN 1D
5. Quantum mechanical tunneling
6. Schrödinger-Poisson self-consistency
7. Landau states in a magnetic field
8. Wavefunction engineering
Part III: 2D APPLICATIONS OF THE FEM
9. 2D elements and shape functions
10. Mesh generation
11. Applications in atomic physics
12. Quantum wires
13. Quantum waveguides
14. Time-dependent problems
Part IV: SPARSE MATRIX APPLICATIONS
15. Matrix solvers and related issues
Part V: BOUNDARY ELEMENTS
16. The boundary element method
17. The BEM and surface plasmons
18. The BEM and quantum applications
Part VI: APPENDICES
A. Gauss quadrature
B. Generalized functions
C. Green's functions
D. Physical constants
Author index
Subject index