An Introduction to Advanced Quantum Physics (eBook)
224 Seiten
John Wiley & Sons (Verlag)
978-0-470-66509-1 (ISBN)
important concepts from classical mechanics, electricity and
magnetism, statistical physics, and quantum physics brought
together to discuss the interaction of radiation and matter,
selection rules, symmetries and conservation laws, scattering,
relativistic quantum mechanics, apparent paradoxes, elementary
quantum field theory, electromagnetic and weak interactions, and
much more.
This book consists of two parts:
Part 1 comprises the material suitable for a second course in
quantum physics and covers:
* Electromagnetic Radiation and Matter
* Scattering
* Symmetries and Conservation Laws
* Relativistic Quantum Physics
* Special Topics
Part 2 presents elementary quantum field theory and
discusses:
* Second Quantization of Spin 1/2 and Spin 1 Fields
* Covariant Perturbation Theory and Applications
* Quantum Electrodynamics
Each chapter concludes with problems to challenge the
students' understanding of the material.
This text is intended for graduate and ambitious undergraduate
students in physics, material sciences, and related
disciplines.
Professor Hans Paar has been on the faculty of the University of California San Diego since 1986. He has taught Quantum Physics in all four quarters it is offered at the undergraduate level and has developed and taught the third and fourth quarter of this course (which corresponds to the content of the book) almost each of those 22 years. He has been vice-chair education in UCSD's Physics Department from 1992-1999 and again from 2008-present. Professor Paar is an experimental particle-astrophysicist and has spent nearly 20 years in experimental high energy physics (particle physics by another name) and nearly three years in Cosmology (the Big-Bang and the particle physics of that era). I am an author on 938 publications.
Preface ix
PART 1 Relativistic Quantum Physics 1
1 Electromagnetic Radiation and Matter 3
1.1 Hamiltonian and Vector Potential 3
1.2 Second Quantization 10
1.2.1 Commutation Relations 10
1.2.2 Energy 12
1.2.3 Momentum 17
1.2.4 Polarization and Spin 19
1.2.5 Hamiltonian 23
1.3 Time-Dependent Perturbation Theory 24
1.4 Spontaneous Emission 28
1.4.1 First Order Result 28
1.4.2 Dipole Transition 30
1.4.3 Higher Multipole Transition 32
1.5 Blackbody Radiation 36
1.6 Selection Rules 39
Problems 44
2 Scattering 49
2.1 Scattering Amplitude and Cross Section 49
2.2 Born Approximation 52
2.2.1 Schrödinger Equation 52
2.2.2 Green's Function Formalism 52
2.2.3 Solution of the Schrödinger Equation 55
2.2.4 Born Approximation 58
2.2.5 Electron-Atom Scattering 59
2.3 Photo-Electric Effect 63
2.4 Photon Scattering 67
2.4.1 Amplitudes 67
2.4.2 Cross Section 72
2.4.3 Rayleigh Scattering 73
2.4.4 Thomson Scattering 75
Problems 78
3 Symmetries and Conservation Laws 81
3.1 Symmetries and Conservation Laws 81
3.1.1 Symmetries 81
3.1.2 Conservation Laws 82
3.2 Continuous Symmetry Operators 84
3.2.1 Translations 84
3.2.2 Rotations 86
3.3 Discrete Symmetry Operators 87
3.4 Degeneracy 89
3.4.1 Example 89
3.4.2 Isospin 90
Problems 91
4 Relativistic Quantum Physics 93
4.1 Klein-Gordon Equation 93
4.2 Dirac Equation 95
4.2.1 Derivation of the Dirac Equation 95
4.2.2 Probability Density and Current 101
4.3 Solutions of the Dirac Equation, Anti-Particles 104
4.3.1 Solutions of the Dirac Equation 104
4.3.2 Anti-Particles 108
4.4 Spin, Non-Relativistic Limit and Magnetic Moment 111
4.4.1 Orbital Angular Momentum 111
4.4.2 Spin and Total Angular Momentum 112
4.4.3 Helicity 114
4.4.4 Non-Relativistic Limit 116
4.5 The Hydrogen Atom Re-Revisited 120
Problems 124
5 Special Topics 127
5.1 Introduction 127
5.2 Measurements in Quantum Physics 127
5.3 Einstein-Podolsky-Rosen Paradox 129
5.4 Schrödinger's Cat 133
5.5 The Watched Pot 135
5.6 Hidden Variables and Bell's Theorem 137
Problems 140
PART 2 Introduction to Quantum Field Theory 143
6 Second Quantization of Spin 1/2 and Spin 1 Fields 145
6.1 Second Quantization of Spin 1/2 Fields 145
6.1.1 Plane Wave Solutions 145
6.1.2 Normalization of Spinors 146
6.1.3 Energy 148
6.1.4 Momentum 151
6.1.5 Creation and Annihilation Operators 151
6.2 Second Quantization of Spin 1 Fields 155
Problems 159
7 Covariant Perturbation Theory and Applications 161
7.1 Covariant Perturbation Theory 161
7.1.1 Hamiltonian Density 161
7.1.2 Interaction Representation 165
7.1.3 Covariant Perturbation Theory 168
7.2 W and Z Boson Decays 171
7.2.1 Amplitude 171
7.2.2 Decay Rate 173
7.2.3 Summation over Spin 174
7.2.4 Integration over Phase Space 179
7.2.5 Interpretation 181
7.3 Feynman Graphs 183
7.4 Second Order Processes and Propagators 185
7.4.1 Annihilation and Scattering 185
7.4.2 Time-Ordered Product 187
Problems 193
8 Quantum Electrodynamics 195
8.1 Electron-Positron Annihilation 195
8.2 Electron-Muon Scattering 201
Problems 204
Index 207
"The material is intended for undergraduates who are planning to
take up the study of elementary particle physics or condensed
matter. The problem section given at the end of each chapter is a
useful addition for a better understanding of the subject."
(Zentralblatt MATH, 2011)
Erscheint lt. Verlag | 6.4.2010 |
---|---|
Sprache | englisch |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Quantenphysik |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
Technik | |
Schlagworte | atomic and molecular physics • Atom- u. Molekülphysik • Atom- u. Molekülphysik • Physics • Physik • Quantenphysik • Quantenphysik u. Feldtheorie • Quantum Physics & Field Theory |
ISBN-10 | 0-470-66509-2 / 0470665092 |
ISBN-13 | 978-0-470-66509-1 / 9780470665091 |
Haben Sie eine Frage zum Produkt? |
Größe: 1,2 MB
Kopierschutz: Adobe-DRM
Adobe-DRM ist ein Kopierschutz, der das eBook vor Mißbrauch schützen soll. Dabei wird das eBook bereits beim Download auf Ihre persönliche Adobe-ID autorisiert. Lesen können Sie das eBook dann nur auf den Geräten, welche ebenfalls auf Ihre Adobe-ID registriert sind.
Details zum Adobe-DRM
Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.
Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen eine
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen eine
Geräteliste und zusätzliche Hinweise
Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.
aus dem Bereich