Resonance Phenomena in Electron-Atom Collisions

ISBN-13: 9783642845185 / Angielski / Miękka / 2011 / 188 str.

Vladimir I. Lengyel; Vyacheslav T. Navrotsky; Emil P. Sabad

Opis

Resonance phenomena have been the topic of a number of reviews, and separate questions have been elucidated in some monographs. But the absence of a bal- anced integral account of the current status of the problem hinders the orientation in this area. The present book is an attempt to fill this gap. The results of investigations of the resonance scattering of electrons by atoms and ions are considered. We compare different theoretical methods of descrip- tion of resonance phenomena, for example, the close-coupling method, R-matrix method, and diagonalization method. Special attention is paid to the analysis of the accuracy of the theoretical calculations and experimental data. Besides the conventional analytical solutions of a multiparticle problem, more recently developed methods, made possible by high speed computers, are discussed in detail. Several computer programs are scrutinized. This book is intended for physicists engaged in the problems of electronic and atomic collisions, and related areas such as plasma and laser physics. It should be of interest to university students and postgraduates.

Spis treści

1. Introduction.- 1.1 General Overview.- 1.2 Scope of the Book.- 2. Scattering by a Potential Field.- 2.1 Formulation of the Problem.- 2.2 Solution of the Schrödinger Equation for Potential Scattering.- 2.3 The Radial Schrödinger Equation.- 2.4 Numerical Methods for the Solution of the Schrödinger Equation.- 2.5 Resonances.- 3. Collisions Between an Electron and a Composite Target.- 3.1 Static Potential Approximation.- 3.2 Radial Equation for Elastic Scattering.- 3.3 Inelastic Scattering. The Distorted-Wave Approximation.- 3.4 Close-Coupling Method.- 3.5 Total Angular Momentum Representation.- 3.6 Two-State Approximation Within the Close-Coupling Method.- 4. Single-Channel Theory of Resonance Scattering.- 4.1 Closed-Channel Resonances. Fano’s Theory.- 4.2 Resonances in the Close-Coupling Method.- 4.3 Autoionizing States of Two-Electron Systems.- 5. Diagonalization Method.- 5.1 Basic Ansatz.- 5.2 Radial Equations.- 5.3 Example: Resonances in Elastic Electron Scattering by Helium Ions.- 6. Multichannel Resonance Scattering of Electrons by Complex Atoms.- 6.1 Complex-Atom Wave Functions.- 6.2 Initial System of Equations.- 6.3 Diagonalization Method Solution.- 6.4 Elastic Electron Scattering by Ions with Zero Orbital Angular Momentum in Their Ground State.- 6.5 Resonance Excitation of np 2P0 and Metastable ns 2S States of Ions with Ground State Zero Angular Momentum.- 7. Survey of the Experimental and Theoretical Results.- 7.1 Experimental Techniques.- 7.2 Hydrogen Atom.- 7.2.1 Elastic Scattering.- 7.2.2 Inelastic Scattering.- 7.3 Helium Atom.- 7.3.1 Elastic Scattering.- 7.3.2 Inelastic Scattering.- 7.3.3 Other Noble Gases.- 7.4 Helium Ion.- 7.5 Alkali Metal Atoms.- 7.5.1 Lithium Atom.- 7.5.2 Sodium Atom.- 7.5.3 Potassium Atom.- 7.5.4 Caesium Atom.- 7.5.5 Comments on Alkali AIS.- 7.6 Alkaline-Earth and Alkali Ions.- 7.6.1 AIS of Beryllium and Magnesium Atoms.- 7.6.2 Resonances in Elastic e + Be+ and e + Mg+ Scattering.- 7.6.3 Resonances in Inelastic e + Be+ and e + Mg+ Scattering.- 7.6.4 Electron—Alkali Ion Scattering.- 7.7 Group II Atoms.- 7.8 Polarization Effects in Scattering.- 8. Conclusion.- References.

O autorze

Scattering of electrons by atoms and atomic ions probes one of the most ubiquitous interparticle interactions. The book is of interest to everyone working in rarefied media (plasma physics, quantum chemistry, astrophysics). It includes a detailed, graduate-level exposition of the theory and a comprehensive review of recent experimental results.