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INFO
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Title................: Numerical Quantum Dynamics
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 11.5 MB
Torrent Hash.........: 1CE34587A6723AEDDF5AA98B12B33CD364072269
Posted by............: ~tqw~
Trackers:
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CONTENTS
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[img]http://images.barnesandnoble.com/images/11520000/11524086.jpg[/img]
Synopsis:
This book describes computational methods used in quantum dynamics with
emphasis on small quantum systems. Computational physics is a fundamental
physical discipline at the forefront of physical research. Thus it is an
indisputable fact that computational physics form part of the essential
landscape of physical science and education. In the present state of
scientific knowledge the importance of quantum dynamics is commonplace.
Computational quantum dynamics involves the use of computer calculations
and simulations to solve quantum physical problems.
Table Of Contents:
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
Product Details:
* ISBN: 1402002157
* ISBN-13: 9781402002151
* Format: Hardcover, 292pp
* Publisher: Springer-Verlag New York, LLC
* Pub. Date: December 2001
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Greetz Fellow UL'ers
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mazuki `jedi Flatline newartriot aXXo KingBen Paulx1 unisonband
