Numerical Quantum Dynamics

List of Figures. List of Tables. Preface. 1: Introduction to Quantum Dynamics. 1. The Schrodinger Equation. 2. Dirac Description of Quantum States. 3. Angular Momentum. 4. The Motion of Wave Packets. 5. The Quantum-Classical Correspondence. 2: Separability. 1. Classical and Quantum Integrability. 2. Separability in Three Dimensions. 3. Coordinates and Singularities. 3: Approximation by Perturbation Techniques. 1. The Rayleigh-Schrodinger Perturbation Theory. 2. 1/N-Shift Expansions. 3. Approximative Symmetry. 4. Time-Dependent Perturbation Theory. 4: Approximation Techniques. 1. The Variational Principle. 2. The Hartree-Fock Method. 3. Density Functional Theory. 4. The Virial Theorem. 5. Quantum Monte Carlo Methods. 5: Finite Differences. 1. Initial Value Problems for Ordinary Differential Equations. 2. The Runge-Kutta Method. 3. Predictor-Corrector Methods. 4. Finite Differences in Space and Time. 5. The Numerov Method. 6: Discrete Variable Method. 1. Basic Idea. 2. Theory. 3. Orthogonal Polynomials and Special Functions. 4. Examples. 5. The Laguerre Mesh. 7: Finite Elements. 1. Introduction. 2. Unidimensional Finite Elements. 3. Adaptive Methods: Some Remarks. 4. B-Splines. 5. Two-Dimensional Finite Elements.6. Using Different Numerical Techniques in Combination. 8: Software Sources. Acknowledgments. Index.