
Lectures on Ion-Atom Collisions : From Nonrelativistic to Relativistic Velocities.
Title:
Lectures on Ion-Atom Collisions : From Nonrelativistic to Relativistic Velocities.
Author:
Eichler, Jörg.
ISBN:
9780080461113
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (273 pages)
Series:
North-Holland Personal Library
Contents:
Cover -- Contents -- Contents -- Nonrelativistic collisions -- Introduction -- Classification of collisions -- Units -- Quantum formulation -- Classical description of the nuclear motion -- Semiclassical description -- Single-electron approximation -- Classical-trajectory Monte Carlo calculations (CTMC) -- Low-cncrgy collisions: Basis expansions -- Coupled-channel description: General outline -- Electron translation factors -- Molecular orbital model: The Born- Oppenheimer expansion -- Molecular orbitals: Correlation diagrams and couplings -- Molecular orbital (MO) x-rays -- Two levels: Landau-Zener approximation -- Two levels: Stiickelberg oscillations -- Molecular orbitals: Dynamical calculations -- Two-center atomic expansions -- Mathematical appendix: Single-center basis functions -- High-energy collisions: Perturbation theory for direct reactions -- The Born expansion -- The Magnus expansion -- The distorted-wave Born approximation (DWBA) -- Excitation and ionization: Partial-wave expansion -- Ionization: The CDW-EIS approximation -- High-energy collisions: Charge transfer -- The Oppenheimer-Brinkman-Kramers approximation -- The Jackson-Schiff and the Strong-Potential Born approximations -- Coulomb boundary conditions and gauge transformations -- The boundary-corrected first Born (BIB) approximation -- The continuum-distorted wave (CDW) approximation -- The eikonal approximation -- Coupled-channel calculations for transfer at high energies -- The Thomas double-scattering mechanism -- Relativistic collisions -- Relativistic kinematics and fields of moving charges -- The Lorentz transformation -- Transformation between a moving frame and the laboratory frame -- Transformation of differential cross sections -- Relativistic motion of interacting point charges -- Lienard-Wiechert potentials -- The equivalent-photon method.
Relativistic electron motion -- The Dirac equation for a central potential -- Bound states in a Coulomb potential -- Coulomb-Dirac continuum wavefunctions -- Relativistic ion-atom collisions: General theory -- Dirac equation for moving Coulomb potentials -- Perturbative transition amplitudes -- Two-center coupled-channel methods -- Asymptotic solutions -- Basis states satisfying Coulomb boundary conditions -- Numerical solutions on a lattice in position space -- Numerical solutions on a lattice in momentum space -- Direct reactions: Excitation and ionization -- First-order perturbation theory -- Long-range couplings in perturbation theory -- Two-center coupled-channel methods -- Calculations on a lattice -- Relativistic electron transfer -- The cross section in first order -- The relativistic eikonal approximation -- Two-center coupled-channel methods -- Theoretical and experimental cross sections -- Frame- and basis-set dependence -- Radiative electron capture (REC) -- The impulse approximation -- Some basics: Born approximation for K-shell photoionization and REC -- The Stobbe formula for K-shell photoionization and REC -- Exact relativistic calculations -- REC cross sections from exact calculations -- Alignment and photon polarization in REC -- Electron capture with pair production -- Electron-positron pair production -- Production of free electron-positron pairs -- Bound-free pair production -- Multiple pair production -- Selected topics -- Selected Topics I: Hyperspherical coordinates -- Hyperspherical coordinates for two-electron systems -- Adiabatic approximation -- The hyperspherical close-coupling method and applications -- Selected Topics II: Hollow atoms in micro-capillaries -- Formation of hollow atoms -- The classical over-barrier model -- Passage through micro-capillaries in metals -- Capillary guiding in polymer foils.
Selected topics III: Resonant coherent excitation -- Axes and planes in a crystal -- The excitation process during the passage -- Detection of the excitation -- Impact-parameter dependence -- Selected topics IV: Atomic physics with antiprotons -- Collisions of antiprotons with hydrogen atoms -- Antiprotonic helium -- A Fundamental constants and units -- Bibliography -- Index.
Abstract:
Atomic collisions offer some unique opportunities to study atomic structure and reaction mechanisms in experiment and theory, especially for projectiles of high atomic number provided by modern accelerators. The book is meant as an introduction into the field and provides some basic theoretical understanding of the atomic processes occurring when a projectile hits another atom. It also furnishes the tools for a mathematical description, however, without going deeper into the technical details, which can be found in the literature given. With this aim, the focus is on reactions, in which only a single active electron participates. Collisional excitation, ionization and charge transfer are discussed for collision velocities ranging from slow to comparable to the speed of light. For the highest projectile velocities, energy can be converted into mass, so that electron-positron pairs are created. In addition to the systematic treatment, a theoretical section specializes on electron-electron correlations and three chapters are devoted to selected highlights bordering to surface science and to physics with antiprotons. * Simple access to the theory of collisions between ions and atoms * Systematic treatment of basic features needed for an understanding * Mathematical details are omitted and referred to references * In order to bear out the essential ideas most clearly, a single active electron is assumed in most cases * In selected examples, theoretical results are confronted with experiment * Discussion supported by a large number of illustrations * Selected highlights in borderline fields are presented.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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