Numerical Quantum Dynamics Book

	List of Figures
	List of Tables
	Preface
1	Introduction to Quantum Dynamics	1
1	The Schrodinger Equation	1
2	Dirac Description of Quantum States	7
3	Angular Momentum	9
4	The Motion of Wave Packets	14
5	The Quantum-Classical Correspondence	19
2	Separability	35
1	Classical and Quantum Integrability	35
2	Separability in Three Dimensions	38
3	Coordinates and Singularities	49
3	Approximation by Perturbation	55
1	The Rayleigh-Schrodinger Perturbation Theory	56
2	1/N-Shift Expansions	70
3	Approximative Symmetry	77
4	Time-Dependent Perturbation Theory	85
4	Approximation Techniques	95
1	The Variational Principle	95
2	The Hartree-Fock Method	104
3	Density Functional Theory	106
4	The Virial Theorem	108
5	Quantum Monte Carlo Methods	118
5	Finite Differences	133
1	Initial Value Problems for Ordinary Differential Equations	133
2	The Runge-Kutta Method	135
3	Predictor-Corrector Methods	139
4	Finite Differences in Space and Time	140
5	The Numerov Method	150
6	Discrete Variable Method	155
1	Basic Idea	155
2	Theory	157
3	Orthogonal Polynomials and Special Functions	165
4	Examples	182
5	The Laguerre Mesh	200
7	Finite Elements	209
1	Introduction	210
2	Unidimensional Finite Elements	212
3	Adaptive Methods: Some Remarks	230
4	B-Splines	232
5	Two-Dimensional Finite Elements	235
6	Using Different Numerical Techniques in Combination	248
8	Software Sources	255
	Acknowledgments	261
	Index	263