Screen LibraryThe quantum mechanical three-body problem /
The Quantum Mechanical Three-Body Problem deals with the three-body problem in quantum mechanics. Topics include the two- and three-particle problem, the Faddeev equations and their solution, separable potentials, and variational methods. This book has eight chapters; the first of which introduces t...
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | ; |
| Published: |
Pergamon Press : Vieweg,
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| Publisher Address: | Oxford : |
| Publication Dates: | 1974. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Vieweg tracts in pure and applied physics ;
volume 2 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780080182407 |
| Summary: |
The Quantum Mechanical Three-Body Problem deals with the three-body problem in quantum mechanics. Topics include the two- and three-particle problem, the Faddeev equations and their solution, separable potentials, and variational methods. This book has eight chapters; the first of which introduces the reader to the quantum mechanical three-body problem, its difficulties, and its importance in nuclear physics. Scattering experiments with three-particle breakup are presented. Attention then turns to some concepts of quantum mechanics, with emphasis on two-particle scattering and the Hamiltonia |
| Carrier Form: | 1 online resource (217 pages) : illustrations. |
| ISBN: |
9781483160788 1483160785 |
| Index Number: | QC174 |
| CLC: | O413 |
| Contents: |
Front Cover; The Quantum Mechanical Three-Body Problem; Copyright Page; Preface; Table of Contents; Chapter 1. Introduction; 1. Scattering Experiments with Three-Particle Breakup; 2. Difficulties of the Theory; 3. Importance of the Three-Body Problem in Nuclear Physics; Chapter 2. Some Concepts of Quantum Mechanics; 1. The Two-Particle Problem; 2. The Three-Particle Problem; Chapter 3. The Faddeev Equations; 1. The Faddeev Equations for the T-Matrix; 2. The Faddeev Equations for the Resolvent; 3. The Faddeev Equations for Scattering States; 4. The S-Matrix 5. The Faddeev Equations for Transition Operators6. The Unitarity Relation; Chapter 4. Solution Methods for the Faddeev Equations; 1. Partial Wave Decomposition of the Faddeev Equations; 2. Some Concepts of the Theory of Integral Equations; 3. Application to the Faddeev Equations; Chapter 5. Separable Potentials; 1. Separable Potentials in the Two-Particle Problem; 2. Solution of the Faddeev Equations for Separable Potentials; Chapter 6. Solution of the Faddeev Equations for Local Potential; 1. Direct Solution of the Faddeev Equations for Local Potential 2. The Schmidt Method (Weinberg's Quasiparticle Method)3. The Quasiparticle Method in the Three-Particle Problem; Chapter 7. Solution of the Faddeev Equations by Pade Approximation; 1. The Technique of Pade Approximation; 2. Pade Approximation and Integral Equations; 3. Pade Approximation and the Faddeev Equations; Chapter 8. Variational Methods; 1. Variational Methods for Bound States; 2. Variational Methods for Elastic Scatteringand for Multichannel Scattering; 3. Variational Methods for Multichannel Scattering with Three-Particle Breakup; References; Index |