Basics of quantum electrodynamics:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
2013
|
| Schlagworte: | |
| Online-Zugang: | Cover image Inhaltsverzeichnis |
| Beschreibung: | "PREFACE Quantum Field Theory was born only several years after Quantum Mechanics, more precisely in 1927, when P.A.M.Dirac performed the quantization of the electromagnetic radiation (Proc.Roy.Soc.A, vol. 114, 1927, pp.243 and 710). Unlike Quantum Mechanics, which became a well established chapter of Theoretical Physics in less than a decade, Quantum Field Theory (QFT) needed two decades to become sufficiently well developed. The explanation is that there were no applications by that time. The crucial role in the development of QFT was played by Bethe's paper (Phys.Rev. vol.72, 1947, p.339) concerning the so-called Lamb shift (or displacement), which is a small difference in energy between two energy levels 2S1/2 and 2P1/2 (in terms of symbolic notation) of the hydrogen atom. Hans Bethe was the first to explain the Lamb shift in the hydrogen spectrum, and he thus laid the foundation for the development of modern quantum electrodynamics. The Lamb shift currently provides a measurement of the fine-structure constant [alpha] to better than one part per million, allowing a precision test of quantum electrodynamics. By Quantum Electrodynamics (QED) one understands the relativistic quantum field theory of electrodynamics. It describes all phenomena that involve interacting charged particles, and it can be viewed as a perturbation theory of the electromagnetic quantum vacuum. Currently, QED represents a vast discipline in the family of quantum theories, and a very efficient instrument for approaching problems in most chapters of physics: elementary particles, atomic nucleus, solid state, etc. For this reason, almost all modern Quantum Mechanics textbooks end with a chapter dedicated to the quantum aspects of electromagnetic interactions"-- Provided by publisher. |
| Beschreibung: | XII, 338 S. graph. Darst. |
| ISBN: | 9781466580374 |
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| 500 | |a "PREFACE Quantum Field Theory was born only several years after Quantum Mechanics, more precisely in 1927, when P.A.M.Dirac performed the quantization of the electromagnetic radiation (Proc.Roy.Soc.A, vol. 114, 1927, pp.243 and 710). Unlike Quantum Mechanics, which became a well established chapter of Theoretical Physics in less than a decade, Quantum Field Theory (QFT) needed two decades to become sufficiently well developed. The explanation is that there were no applications by that time. The crucial role in the development of QFT was played by Bethe's paper (Phys.Rev. vol.72, 1947, p.339) concerning the so-called Lamb shift (or displacement), which is a small difference in energy between two energy levels 2S1/2 and 2P1/2 (in terms of symbolic notation) of the hydrogen atom. Hans Bethe was the first to explain the Lamb shift in the hydrogen spectrum, and he thus laid the foundation for the development of modern quantum electrodynamics. The Lamb shift currently provides a measurement of the fine-structure constant [alpha] to better than one part per million, allowing a precision test of quantum electrodynamics. By Quantum Electrodynamics (QED) one understands the relativistic quantum field theory of electrodynamics. It describes all phenomena that involve interacting charged particles, and it can be viewed as a perturbation theory of the electromagnetic quantum vacuum. Currently, QED represents a vast discipline in the family of quantum theories, and a very efficient instrument for approaching problems in most chapters of physics: elementary particles, atomic nucleus, solid state, etc. For this reason, almost all modern Quantum Mechanics textbooks end with a chapter dedicated to the quantum aspects of electromagnetic interactions"-- Provided by publisher. | ||
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Datensatz im Suchindex
| _version_ | 1804151361340702720 |
|---|---|
| adam_text | Titel: Basics of quantum electrodynamics
Autor: Mercheş, Ioan
Jahr: 2013
CONTENTS
CHAPTER I. GENERAL FIELD THEORY...................1
1.1. Basic field equations.....................................1
1.2. Infinitesimal Lorentz Transformation.....................5
1.3. Transformation of the quantities f/(r) in
particular cases........................................7
1.4. Invariance of the Lagrangian density under infinitesimal
Lorentz transformation...............................12
1.5. The energy-momentum tensor of a field..................13
1.6. The angular momentum tensor of a field.................17
1.7. Symmetry transformations..............................20
1.8. Phase transformations...................................24
CHAPTER II. GENERAL PROBLEMS OF FIELD
QUANTIZATION..................................27
2.1. Necessity of field quantization...........................27
2.2. Commutation and anti-commutation relations.
Emission and absorption operators ...................32
2.3. Commutation relations and the Bose-Einstein statistics .. 36
2.4. Anti-commutation relations and the Fermi-Dirac statistics41
2.5. Alternative methods of field quantization ...............43
2.6. Notations and units in QFT.............................46
CHAPTER III. THE QUANTIZATION OF THE SCALAR
FIELD..............................................49
3.1. The Lagrangian formalism..............................49
3.2. Momentum representation...............................53
3.3. Momentum, energy and charge of the
complex scalar field in momentum representation......58
3.4. Commutators of the free scalar field ....................64
3.5. Products of operators ..................................71
3.6. Vacuum states. The Fock representation ................74
3.7. Wick s theorems........................................77
CHAPTER IV. THE QUANTIZATION OF
THE ELECTROMAGNETIC FIELD............83
4.1. Lagrangian formalism...................................83
4.2. Momentum representation...............................86
4.3. Momentum, energy and spin of the
electromagnetic field in momentum representation.....89
4.4. Commutators of the free electromagnetic field...........97
4.5. The indefinite metric formalism........................100
4.6. The Lorentz-Fermi condition...........................102
CHAPTER V. THE QUANTIZATION OF THE SPINORIAL
FIELD.............................................109
5.1. The Dirac equation and the algebra of gamma matrices 109
5.2. Lagrangian formalism..................................115
5.3. The free particle in the Dirac theory...................118
5.4. Energy, momentum, charge and spin of the
free spinorial field in momentum representation......130
5.5. Anti-commutators of the free spinorial field ............136
5.6. Products of spinorial operators.........................140
CHAPTER VI. GENERAL PROBLEMS OF FIELD
INTERACTIONS.................................143
6.1. Generalities............................................143
6.2. The S-matrix..........................................144
6.3. Choice of the interaction Lagrangian density...........149
6.4. The Feynman-Dyson diagrams.........................152
6.5. Examples of Feynman-Dyson diagrams.................156
6.6. Transition probability..................................164
6.7. Scattering cross section................................167
CHAPTER VII. NON-DIVERGENT SECOND-ORDER
PROCESSES......................................173
7.1. Transition probability for Compton scattering .........173
7.2. Differential cross section for Compton scattering........184
7.3. Electron-positron annihilation..........................189
7.4. Transition probability for M0ller scattering.............198
7.5. M0ller scattering cross section..........................210
7.6. Photon-photon scattering with
electron-positron pair production....................220
7.7. Electron-positron scattering............................232
CHAPTER VIII. DIVERGENT SECOND-ORDER
PROCESSES......................................241
8.1. Self-energy diagram of the electron.....................241
8.2. Self-energy diagram of the photon.
The vacuum polarization.............................256
8.3. Mass and charge renormalization.......................269
APPENDIX. DISTRIBUTIONS............................273
A.l. Unidimensional delta function.........................273
A.2. Various representations of the delta function ..........275
A.3. Some functions related to delta .......................277
A.4. Functions Dm+ and_Z?m_..............................281
A.5. Functions Dm and Dm................................283
A.6. Functions D0,D0,D0+,D0_ ...........................286
A.7. Functions S, S, S+, S_.................................288
A.8. Retarded and advanced functions......................289
A.9. Causal functions.......................................293
PROBLEMS with SOLUTIONS............................295
REFERENCES...............................................329
SUBJECT INDEX...........................................332
|
| any_adam_object | 1 |
| author | Mercheş, Ioan 1937- Tatomir, Dorian Lupu, Roxana E. |
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| id | DE-604.BV041295071 |
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| isbn | 9781466580374 |
| language | English |
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| physical | XII, 338 S. graph. Darst. |
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| spelling | Mercheş, Ioan 1937- Verfasser (DE-588)1019621214 aut Basics of quantum electrodynamics Ioan Merches ; Dorian Tatomir ; Roxanne E. Lupu Boca Raton [u.a.] CRC Press 2013 XII, 338 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier "PREFACE Quantum Field Theory was born only several years after Quantum Mechanics, more precisely in 1927, when P.A.M.Dirac performed the quantization of the electromagnetic radiation (Proc.Roy.Soc.A, vol. 114, 1927, pp.243 and 710). Unlike Quantum Mechanics, which became a well established chapter of Theoretical Physics in less than a decade, Quantum Field Theory (QFT) needed two decades to become sufficiently well developed. The explanation is that there were no applications by that time. The crucial role in the development of QFT was played by Bethe's paper (Phys.Rev. vol.72, 1947, p.339) concerning the so-called Lamb shift (or displacement), which is a small difference in energy between two energy levels 2S1/2 and 2P1/2 (in terms of symbolic notation) of the hydrogen atom. Hans Bethe was the first to explain the Lamb shift in the hydrogen spectrum, and he thus laid the foundation for the development of modern quantum electrodynamics. The Lamb shift currently provides a measurement of the fine-structure constant [alpha] to better than one part per million, allowing a precision test of quantum electrodynamics. By Quantum Electrodynamics (QED) one understands the relativistic quantum field theory of electrodynamics. It describes all phenomena that involve interacting charged particles, and it can be viewed as a perturbation theory of the electromagnetic quantum vacuum. Currently, QED represents a vast discipline in the family of quantum theories, and a very efficient instrument for approaching problems in most chapters of physics: elementary particles, atomic nucleus, solid state, etc. For this reason, almost all modern Quantum Mechanics textbooks end with a chapter dedicated to the quantum aspects of electromagnetic interactions"-- Provided by publisher. Chemie Quantum electrodynamics SCIENCE / Chemistry / Physical & Theoretical bisacsh SCIENCE / Quantum Theory bisacsh Quantenelektrodynamik (DE-588)4047982-1 gnd rswk-swf Quantenelektrodynamik (DE-588)4047982-1 s DE-604 Tatomir, Dorian Verfasser (DE-588)1030019487 aut Lupu, Roxana E. Verfasser (DE-588)1030019568 aut http://jacketsearch.tandf.co.uk/common/jackets/covers/websmall/978146658/9781466580374.jpg Cover image HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026743975&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mercheş, Ioan 1937- Tatomir, Dorian Lupu, Roxana E. Basics of quantum electrodynamics Chemie Quantum electrodynamics SCIENCE / Chemistry / Physical & Theoretical bisacsh SCIENCE / Quantum Theory bisacsh Quantenelektrodynamik (DE-588)4047982-1 gnd |
| subject_GND | (DE-588)4047982-1 |
| title | Basics of quantum electrodynamics |
| title_auth | Basics of quantum electrodynamics |
| title_exact_search | Basics of quantum electrodynamics |
| title_full | Basics of quantum electrodynamics Ioan Merches ; Dorian Tatomir ; Roxanne E. Lupu |
| title_fullStr | Basics of quantum electrodynamics Ioan Merches ; Dorian Tatomir ; Roxanne E. Lupu |
| title_full_unstemmed | Basics of quantum electrodynamics Ioan Merches ; Dorian Tatomir ; Roxanne E. Lupu |
| title_short | Basics of quantum electrodynamics |
| title_sort | basics of quantum electrodynamics |
| topic | Chemie Quantum electrodynamics SCIENCE / Chemistry / Physical & Theoretical bisacsh SCIENCE / Quantum Theory bisacsh Quantenelektrodynamik (DE-588)4047982-1 gnd |
| topic_facet | Chemie Quantum electrodynamics SCIENCE / Chemistry / Physical & Theoretical SCIENCE / Quantum Theory Quantenelektrodynamik |
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