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Relativistic Heavy-Particle Collision Theory : Physics of Atoms and Molecules - Derrick S. F. Crothers

Relativistic Heavy-Particle Collision Theory

Physics of Atoms and Molecules

Hardcover Published: 30th September 2000
ISBN: 9780306464249
Number Of Pages: 311

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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 book we study one electron in the variety of rearrangement collisions: radiative and non-radiative capture, ionization, capture by pair (one electron, one positron) production and antihydrogen production. Our relativistic continuum distorted-wave theory accounts extremely well for the simultaneous behaviour of the electron with respect to the nuclear charges of the projectile and the target.
This is the first book developed in this subject. Containing many diagrams and tables, and fully referenced, it goes beyond chapters in previous books. The relativistic continuum distorted-wave theory developed by the authors group, is shown to be fully Hermitean. Detailed mathematics are provided in nine appendices.

Heavy-Particle Ion-Atom Collisionsp. 1
Introduction to Non-Relativistic Collisionsp. 1
Introduction to Relativistic Collisionsp. 4
Lorentz Transformationsp. 4
The Dirac Equationp. 6
Dirac Equation in a Central Fieldp. 9
Relativistic Electron Capturep. 17
Distorted Wave Theories of Nonradiative Capturep. 17
Relativistic OBK Theoryp. 20
Relativistic Continuum Distorted Wavesp. 26
The Relativistic Symmetric Eikonal Modelp. 52
Asymmetric Theoriesp. 60
Results and Discussionp. 65
Second-Order Theoriesp. 77
Second-Order Theories of Relativistic Electron Capturep. 77
Relativistic OBK1 and Peaking Approximationsp. 78
The Relativistic Bates Approximationp. 81
Relativistic OBK2p. 86
The Relativistic Impulse Approximationp. 96
Half-on-Shell OBK2p. 99
Radiative Electron Capturep. 105
Introduction to Radiative Electron Capturep. 105
Collision Systemp. 107
Distorted-Wave Methodp. 111
2s Bound-State Wavefunctionsp. 122
Target Roothan-Hartree-Fock Bound Statesp. 124
Results and Discussionp. 126
Relativistic Ionizationp. 137
Introduction to Relativistic First Born and Distorted-Wave Born Approximationsp. 137
Implications of Assuming a Straight Line Trajectoryp. 138
Spin Flip/Non-Flip Considerationsp. 140
Derivation of the Cross-Section Formulaep. 142
Residual Interaction for RDWB (Prior) Approximationp. 146
Matrix Elementsp. 147
Results and Conclusionsp. 161
Relativistic Continuum Distorted Wavesp. 191
Introduction to Relativistic Continuum Distorted Wave-Eikonal Initial State and (Post) Distorted Wave Born Approximationsp. 191
RCDW Wavefunctionsp. 192
Derivation of the Residual Interactionp. 193
Matrix Elementsp. 197
Computational Detailsp. 218
Results and Conclusionsp. 220
Processes Involving Pair Productionp. 229
Introduction to Transitions Involving Electron-Positron Pair Productionp. 229
Crossing Symmetriesp. 231
Physics of Ionization and Pair Production Capturep. 232
Wavefunctions for Processes Involving Pair Productionp. 234
Results and Conclusionsp. 240
Antihydrogen Productionp. 245
Appendicesp. 249
Thomas Double Scatteringp. 249
RCDW Bethe-Integralsp. 255
Target Centred Integralsp. 255
Projectile Centred Integralsp. 260
Eikonal Integralsp. 265
Target Centred Integralsp. 265
Projectile Centred Integralsp. 269
The Relativistic Field-Free Propagatorp. 275
Asymptotic Formulaep. 279
Nonflipp. 280
Flipp. 281
The Relativistic Impulse Approximationp. 283
RDWB Matrix Elementsp. 285
Continuity Relationp. 289
Matrix Element Checksp. 293
Referencesp. 295
Indexp. 305
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780306464249
ISBN-10: 0306464241
Series: Physics of Atoms and Molecules
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 311
Published: 30th September 2000
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 1.91
Weight (kg): 0.64

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