Topics in Atomic Collision Theory (eBook)

Sydney Geltman (Autor)

Keith A. Brueckner, H. S. W. Massey (Herausgeber)

eBook Download: PDF

2013 | 1. Auflage
264 Seiten
Elsevier Science (Verlag)
978-1-4832-7702-8 (ISBN)

Infos

Topics in Atomic Collision Theory originated in a course of graduate lectures given at the University of Colorado and at University College in London. It is recommended for students in physics and related fields who are interested in the application of quantum scattering theory to low-energy atomic collision phenomena. No attention is given to the electromagnetic, nuclear, or elementary particle domains. The book is organized into three parts: static field scattering, electron-atom collisions, and atom-atom collisions. These are in the order of increasing physical complexity and hence necessarily in the order of decreasing mathematical tractability. The topics and methods selected were those which contributed most significantly to the understanding of the physics and the calculation of reliable cross sections. The attempt has been made to treat each of the sections in a complete and self-contained manner. The limited scope of this book has unfortunately made it necessary to omit discussion of many promising methods.

Inhalt

Front Cover 1
Topics in Atomic Collision Theory 4
Copyright Page 5
Table of Contents 8
PREFACE 6
Part I: STATIC FIELD SCATTERING 10
CHAPTER 
10 
REFERENCES 17
CHAPTER 2. PARTIAL WAVE ANALYSIS 18
REFERENCES 26
CHAPTER 3. SCATTERING MATRIX AND BOUND STATES 26
REFERENCES 35
CHAPTER 4. RESONANCE EFFECTS 35
REFERENCE 44
CHAPTER 5a. NORMALIZATION OF CONTINUUM STATES 44
REFERENCE 44
CHAPTER 5b. COULOMB SCATTERING 49
REFERENCES 53
CHAPTER 6. INTEGRAL EQUATION FORMULATION 54
REFERENCES 59
CHAPTER 
59 
REFERENCES 68
CHAPTER 
69 
REFERENCES 75
CHAPTER 9. BOUNDING PRINCIPLE FOR SCATTERING LENGTH 76
REFERENCES 82
CHAPTER 10. NONSPHERICAL POTENTIAL FIELDS 82
REFERENCES 90
Part II: ELECTRON-ATOM COLLISIONS 91
CHAPTER 
91 
REFERENCES 99
CHAPTER 12. ROLE OF PAULI PRINCIPLE 99
CHAPTER 13. INTEGRAL EXPRESSION FOR SCATTERING AMPLITUDE 104
REFERENCE 112
CHAPTER 14. BORN, BETHE, AND OPPENHEIMER APPROXIMATIONS 112
REFERENCE 124
CHAPTER 15. VARIATIONAL METHODS 124
REFERENCES 133
CHAPTER 16. CLOSE COUPLING METHOD 133
REFERENCES 142
CHAPTER 17. IONIZATION 142
REFERENCES 151
CHAPTER 18. RESONANCES AND COMPOUND ATOM STATES 151
REFERENCES 160
CHAPTER 19. THRESHOLD BEHAVIOR OF CROSS SECTIONS 161
REFERENCES 168
CHAPTER 20. ANOMALOUS THRESHOLD BEHAVIORS 169
REFERENCES 176
Part III: ATOM-ATOM COLLISIONS 177
CHAPTER 21. GENERAL KINEMATIC CONSIDERATIONS 177
CHAPTER 22. EXPANSION IN MOLECULAR STATES 184
REFERENCES 191
CHAPTER 23. IDENTICAL NUCLEI AND THE PAULI PRINCIPLE 192
REFERENCES 200
CHAPTER 24. IMPACT PARAMETER METHOD AND PERTURBATION SOLUTIONS 201
CHAPTER 25a. UNITARIZED APPROXIMATION 208
CHAPTER 25b. VARIATIONAL PRINCIPLE FOR TIME-DEPENDENT CASE 212
CHAPTER 26. COUPLED EQUATIONS FOR PROTON–HYDROGEN 
214 
REFERENCES 222
CHAPTER 27. CROSSING OF POTENTIAL ENERGY CURVES 222
REFERENCES 231
CHAPTER 28. ADIABATIC SYMMETRIC CHARGE TRANSFER 231
REFERENCES 239
CHAPTER 29. GENERAL FORMULATION FOR REARRANGEMENT COLLISIONS 239
REFERENCES 245
CHAPTER 30. CHARGE TRANSFER IN FAST COLLISIONS 246
REFERENCES 251
INDEX 252

Produkt-Details

• Erscheint lt. Verlag: 22.10.2013
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Themenwelt: Technik
• ISBN-10: 1-4832-7702-X / 148327702X
• ISBN-13: 978-1-4832-7702-8 / 9781483277028