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Relativistic Heavy-Particle Collision Theory

If a heavy particle ion (atom, molecule, muon) collides with another in the gas phase at speeds approaching the speed of light, the time-dependent Dirac equation equation must be used for its description, including quantum electro-dynamic, special relativity and magnetic coupling effects. In this bo...

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Bibliographic Details
Main Author: Crothers, Derrick S.F.
Format: eBook
Language:English
Published: New York, NY Springer US 2000, 2000
Edition:1st ed. 2000
Subjects:
Atoms
Atomic, Molecular And Chemical Physics
Nuclear Physics
Quantum Field Theory
Astronomy / Observations
Elementary Particles (physics)
Elementary Particles, Quantum Field Theory
Astronomy, Observations And Techniques
Molecules
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Heavy-Particle Ion-Atom Collisions
  • 1. Introduction to Non-Relativistic Collisions
  • 2. Introduction to Relativistic Collisions
  • 3. Lorentz Transformations
  • 4. The Dirac Equation
  • 5. Dirac Equation in a Central Field
  • 2. Relativistic Electron Capture
  • 1. Distorted Wave Theories of Nonradiative Capture
  • 2. Relativistic OBK Theory
  • 3. Relativistic Continuum Distorted Waves
  • 4. The Relativistic Symmetric Eikonal Model
  • 5. Asymmetric Theories
  • 6. Results and Discussion
  • 3. Second-Order Theories
  • 1. Second-Order Theories of Relativistic Electron Capture
  • 2. Relativistic OBK1 and Peaking Approximations
  • 3. The Relativistic Bates Approximation
  • 4. Relativistic OBK2
  • 5. The Relativistic Impulse Approximation
  • 6. Half-on-Shell OBK2
  • 4. Radiative Electron Capture
  • 1. Introduction to Radiative Electron Capture
  • 2. Collision System
  • 3. Distorted-Wave Method
  • 4. 2s Bound-State Wavefunctions
  • 5. Target Roothan-Hartree-Fock Bound States
  • 5. Results and Conclusions
  • 6. Antihydrogen Production
  • Appendices
  • A. Thomas Double Scattering
  • B. RCDW Bethe-Integrals
  • 1. Target Centred Integrals
  • 2. Projectile Centred Integrals
  • C. Eikonal Integrals
  • 1. Target Centred Integrals
  • 2. Projectile Centred Integrals
  • D. The Relativistic Field-Free Propagator
  • E. Asymptotic Formulae
  • 1. Nonflip
  • 2. Flip
  • F. The Relativistic Impulse Approximation
  • G. RDWB Matrix Elements
  • H. Continuity Relation
  • I. Matrix Element Checks
  • References
  • 6. Results and Discussion
  • 5. Relativistic Ionization
  • 1. Introduction to Relativistic First Born and Distorted-Wave Born Approximations
  • 2. Implications of Assuming a Straight Line Trajectory
  • 3. Spin Flip/Non-Hip Considerations
  • 4. Derivation of the Cross-Section Formulae
  • 5. Residual Interaction for RDWB (Prior) Approximation
  • 6. Matrix Elements
  • 7. Results and Conclusions
  • 6. Relativistic Continuum Distorted Waves
  • 1. Introduction to Relativistic Continuum Distorted Wave-Eikonal Initial State and (Post) Distorted Wave Born Approximations
  • 2. RCDW Wavefunctions
  • 3. Derivation of the Residual Interaction
  • 4. Matrix Elements
  • 5. Computational Details
  • 6. Results and Conclusions
  • 7. Processes Involving Pair Production
  • 1. Introduction to Transitions Involving Electron-Positron Pair Production
  • 2. CrossingSymmetries
  • 3. Physics of Ionization and Pair Production Capture
  • 4. Wavefunctions for Processes Involving Pair Production

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