Zero-Range Potentials and Their Applications in Atomic Physics
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
1988, 1988
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| Edition: | 1st ed. 1988 |
| Series: | Physics of Atoms and Molecules
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 9.3 Ionization in Slow Atomic Collisions
- 10 Nonlinear Approximations in the Theory of Electron Detachment
- 10.1 Nonlinear Problems Solvable by Contour Integration. Sudden Approximation
- 10.2 Quadratic Approximation in the Theory of Electron Detachment
- 10.3 Quadratic Approximation (General Case)
- 11 Time-Independent Quantum Mechanical Problems
- 11.1 Account of the Quantal Motion of the Nuclei in Detachment Theory
- 11.2 Time-Independent Quantum Mechanical Problems Solvable by Contour Integration
- References
- 6.2 Electron Scattering by Long Linear Molecules
- 6.3 Two-Dimensional Lattice in Three-Dimensional Space
- 6.4 Three-Dimensional Lattice and the Method of Ewald
- 7 Weakly Bound Systems in Electric and Magnetic Fields
- 7.1 Weakly Bound Systems in a Homogeneous Electric Field
- 7.2 Weakly Bound Systems in a Homogeneous Magnetic Field
- 7.3 Weakly Bound Systems in Crossed Electric and Magnetic Fields
- 7.4 A Combination of ZRPs and a Coulomb Field
- 8 Electron Detachment in Slow Collisions Between a Negative Ion and an Atom
- 8.1 ZRPs in Time-Dependent Quantum Mechanical Problems
- 8.2 Linear Approximation in Detachment Theory
- 8.3 Account of the Finite Size of the Colliding System
- 8.4 Production of Negative Ions in Three-Body Collisions
- 9 Time-Dependent Quantum Mechanical Problems Solvable by Contour Integration
- 9.1 General Time-Dependent Problems Solvable by Contour Integration
- 9.2 Adiabatic Approximation and Trajectories of the Poles of the S-Matrix
- 3.5 Perturbation Theory in the Presence of an External Magnetic Field
- 3.6 Solution of the Schrödinger Equation with the Help of ZRPs
- 4 Scattering by a System of Zero-Range Potentials and the Partial Wave Method for a Nonspherical Scatterer
- 4.1 The Partial Wave Method
- 4.2 Behavior of the Phases at Low Energy
- 4.3 The Variational Principle
- 4.4 Scattering by a System of ZRPs
- 4.5 ZRPs in the Theory of Multiple Scattering
- 5 Zero-Range Potentials in Multi-Channel Problems
- 5.1 Zero-Range Potentials for a Many-Component Wavefunction
- 5.2 Singlet-Triplet Splitting and Cross Sections for Elastic and Inelastic Scattering
- 5.3 Energy Terms of the e + H2 System and Trajectories of the Poles of the S-Matrix for a Two-Channel Problem
- 5.4 Electron Scattering by Molecules in the Separable PotentialApproximation
- 6 Motion of a Particle in a Periodic Field of Zero-Range Potentials
- 6.1 One-Dimensional Lattice in a Three-Dimensional Space. Bound States
- 1 Basic Principles of the Zero-Range Potential Method
- 1.1 Introduction
- 1.2 Formulation of the Method
- 1.3 The One-Center Problem and Its Simple Applications
- 1.4 Separable Potentials and Scattering of Slow Electrons by Atoms
- 2 Trajectories of the Poles of the S-Matrix and Resonance Scattering
- 2.1 Preliminary Remarks
- 2.2 Trajectories of the Zeros of the Jost Function for ? = 0
- 2.3 The S-Matrix in a Two-Pole Approximation
- 2.4 The Case of ? ? 0 and Perturbation Theory for a Bound State Close to the Continuum
- 2.5 Trajectories of the Poles of the S-Matrix in the Case of ZRP and Separable Potentials
- 3 Zero-Range Potentials for Molecular Systems. Bound States
- 3.1 Many-Center Problems without External Fields
- 3.2 Potential Curves for a Two-Center System and Some Applications
- 3.3 Analytic Properties of the Potential Curves and Trajectories of the Poles of the S-Matrix
- 3.4 Perturbation Theory in the Presence of an External Electric Field