Excitons in Low-Dimensional Semiconductors

1 Optical Transitions in Semiconductors.- 2 Numerical Calculation.- 3 Fano Resonances.- 4 Zener Breakdown in Superlattices.- A Mathematical Supplement.- A.1 Basic Definitions and Relations.- A.2 Special Functions of Mathematical Physics.- A.3 Miscellaneous Relations.- B Physical Supplement.- B.1 Physical Constants and Material Parameters.- B.2 Dimensionless Quantities.- B.3 Crystal Symmetry.- C Essentials of Quantum Mechanics.- C.1 The Quantum-Mechanical Eigenvalue Problem.- C.1.1 The Spectrum of Schrödinger Operators.- C.1.2 Selected Eigenvalue Problems.- C.2 Angular Momentum in Quantum Mechanics.- C.2.1 The Eigenvalue Problem.- C.2.2 Orthogonal Transformations.- C.2.3 Addition of Angular Momenta.- C.2.4 Time Reversal.- C.3 Perturbation Theory.- C.3.1 Degenerate Time-Independent Perturbation Theory.- C.3.2 Time-Dependent Perturbation Theory.- D Computer Programs.- D.1 Cartesian Coordinates.- D.2 Polar Coordinates.- D.3 Time-Reversal Symmetry.- D.4 Absorbing Boundary Conditions.- D.5 Cylindrical Coordinates.- References.