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Relativistic Quantum Physics
From Advanced Quantum Mechanics to Introductory Quantum Field Theory
By: Tommy Ohlsson
Hardcover | 22 September 2011 | Edition Number 1
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310 Pages
24.41 x 16.99 x 1.91
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Industry Reviews
'... thorough and very detailed ... The book is ideal for final year undergraduate students in physics and first year graduate students in physics or theoretical physics. I recommend this book for its self-contained technical treatment on relativistic quantum mechanics, introductory quantum field theory and the step in between, i.e. it can fill the gap between advanced quantum mechanics and quantum field theory.' Contemporary Physics
'... a thorough and very detailed mathematical treatment of the subject ... is ideal for final year undergraduate students in physics and first year graduate students in physics or theoretical physics. I recommend this book for its self-contained technical treatment on relativistic quantum mechanics, introductory quantum field theory and the step between, i.e. it can fill the gap between advanced quantum mechanics and quantum field theory.' Contemporary Physics
| Preface | p. xi |
| Introduction to relativistic quantum mechanics | p. 1 |
| Tensor notation | p. 1 |
| The Lorentz group | p. 3 |
| The Poincaré group | p. 9 |
| Casimir operators | p. 11 |
| General description of relativistic states | p. 12 |
| Irreducible representations of the Poincaré group | p. 13 |
| One-particle relativistic states | p. 16 |
| Problems | p. 21 |
| Guide to additional recommended reading | p. 21 |
| The Klein-Gordon equation | p. 22 |
| Transformation properties | p. 24 |
| The current | p. 25 |
| Solutions to the Klein-Gordon equation | p. 26 |
| Charged particles | p. 28 |
| The Klein paradox | p. 30 |
| The pionic atom | p. 34 |
| Problems | p. 38 |
| Guide to additional recommended reading | p. 39 |
| The Dirac equation | p. 40 |
| Free particle solutions to the Dirac equation | p. 45 |
| Problems with the Dirac equation: the hole theory and the Dirac sea | p. 50 |
| Some gamma gymnastics and trace technology | p. 52 |
| Spin operators | p. 57 |
| Orthogonality conditions and energy projection operators | p. 61 |
| Relativistic invariance of the Dirac equation | p. 63 |
| Bilinear covariants | p. 66 |
| Electromagnetic structure of Dirac particles and charge conjugation | p. 68 |
| Constants of motion | p. 72 |
| Central potentials | p. 74 |
| The hydrogenic atom | p. 77 |
| The Weyl equation | p. 86 |
| Helicity and chirality | p. 89 |
| Problems | p. 90 |
| Guide to additional recommended reading | p. 92 |
| Quantization of the non-relativistic string | p. 94 |
| Equation of motion for the non-relativistic string | p. 94 |
| Solutions to the wave equation: normal modes | p. 97 |
| Generalized positions and momenta | p. 98 |
| Quantization | p. 99 |
| Quanta as particles | p. 101 |
| Problem | p. 103 |
| Guide to additional recommended reading | p. 104 |
| Introduction to relativistic quantum field theory: propagators, interactions, and all that | p. 105 |
| Propagators | p. 106 |
| Lagrangians | p. 109 |
| Gauge interactions | p. 111 |
| Scattering theory and Møller wave operators | p. 113 |
| The S operator | p. 115 |
| Guide to additional recommended reading | p. 121 |
| Quantization of the Klein-Gordon field | p. 122 |
| Canonical quantization | p. 122 |
| Field operators and commutators | p. 126 |
| Green's functions and propagators | p. 129 |
| The energy-momentum tensor | p. 132 |
| Classical external sources | p. 134 |
| The charged Klein-Gordon field | p. 135 |
| Problems | p. 135 |
| Guide to additional recommended reading | p. 137 |
| Quantization of the Dirac field | p. 138 |
| The free Dirac field | p. 138 |
| Quantization | p. 140 |
| Positive energy | p. 141 |
| The charge operator | p. 144 |
| Parity, time reversal, and charge conjugation | p. 145 |
| The Majorana field | p. 148 |
| Green's functions and propagators | p. 150 |
| Perturbation of electromagnetic interaction | p. 152 |
| Expansion of the S operator | p. 153 |
| Problems | p. 154 |
| Guide to additional recommended reading | p. 154 |
| Maxwell's equations and quantization of the electromagnetic field | p. 155 |
| Maxwell's equations | p. 155 |
| Quantization of the electromagnetic field | p. 157 |
| The Casimir effect | p. 163 |
| Covariant quantization of the electromagnetic field | p. 167 |
| Problems | p. 174 |
| Guide to additional recommended reading | p. 174 |
| The electromagnetic Lagrangian and introduction to Yang-Mills theory | p. 176 |
| The electromagnetic Lagrangian | p. 176 |
| Massive vector fields | p. 180 |
| Gauge transformations and the covariant derivative | p. 182 |
| The Yang-Mills Lagrangian | p. 183 |
| Problems | p. 186 |
| Guide to additional recommended reading | p. 187 |
| Asymptotic fields and the LSZ formalism | p. 188 |
| Asymptotic fields and the 5 operator | p. 188 |
| The LSZ formalism for real scalar fields | p. 192 |
| Proton-meson scattering | p. 195 |
| Guide to additional recommended reading | p. 196 |
| Perturbation theory | p. 197 |
| Three different pictures | p. 198 |
| The unitary time-evolution operator | p. 199 |
| Perturbation of VEVs for T-ordered products | p. 202 |
| The relation between the physical vacuum ) and the free theory ground state | |
| Specific correlation functions | p. 207 |
| Wick's theorem | p. 211 |
| Feynman rules and diagrams | p. 215 |
| Kinematics for binary reactions | p. 222 |
| The S matrix, the T matrix, cross-sections, and decay rates | p. 225 |
| Problems | p. 232 |
| Guide to additional recommended reading | p. 234 |
| Elementary processes of quantum electrodynamics | p. 235 |
| e+ + e- → + + - | p. 236 |
| e- + - → e- + - | p. 240 |
| e+ + e- → e+ + e- | p. 242 |
| e- + e- → e- + e- | p. 246 |
| e- + → e- + and e+ + e- → 2 | p. 250 |
| Problems | p. 253 |
| Guide to additional recommended reading | p. 255 |
| Introduction to regularization, renormalization, and radiative corrections | p. 257 |
| The electron vertex correction | p. 260 |
| The electron self-energy | p. 265 |
| The photon self-energy | p. 268 |
| The renormalized electron charge | p. 272 |
| Problems | p. 275 |
| Guide to additional recommended reading | p. 276 |
| A brief survey of group theory and its notation | p. 278 |
| Groups | p. 278 |
| Lie groups | p. 279 |
| Lie algebras | p. 281 |
| Lie algebras of Lie groups | p. 282 |
| The angular momentum algebra | p. 283 |
| Bibliography | p. 286 |
| Index | p. 288 |
| Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9780521767262
ISBN-10: 0521767261
Published: 22nd September 2011
Format: Hardcover
Language: English
Number of Pages: 310
Audience: General Adult
Publisher: Cambridge University Press
Country of Publication: GB
Edition Number: 1
Dimensions (cm): 24.41 x 16.99 x 1.91
Weight (kg): 0.76
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