Relativistic quantum physics: from advanced quantum mechanics to introductory quantum field theory
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2011
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XII, 297 S. graph. Darst. |
| ISBN: | 9780521767262 |
Staff View
MARC
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| 300 | |a XII, 297 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804147971745382400 |
|---|---|
| adam_text | Contents
Preface
page
xi
Introduction to relativistic quantum mechanics
1
1.1
Tensor notation
1
1.2
The
Lorentz
group
3
1.3
The
Poincaré
group
9
1.4 Casimir
operators
11
1.5
Genera] description of relativistic states
12
1.6
Irreducible representations of the
Poincaré
group
13
1.7
One-particle relativistic states
16
Problems
21
Guide to additional recommended reading
21
The Klein-Gordon equation
22
2.1
Transformation properties
24
2.2
The current
25
2.3
Solutions to the Klein-Gordon equation
26
2.4
Charged particles
28
2.5
The Klein paradox
30
2.6
The
pionie
atom
34
Problems
38
Guide to additional recommended reading
39
The Dirac equation
40
3.1
Free particle solutions to the Dirac equation
45
3.2
Problems with the Dirac equation: the hole theory and the
Dirac sea
50
3.3
Some gamma gymnastics and trace technology
52
3.4
Spin operators
57
Contents
3.5
Orthogonality
conditions
and energy
projection
Operators 61
3.6 Relativistic
invariance
of the Dirac equation
63
3.7
Bilinear covariants
66
3.8
Electromagnetic structure of Dirac particles and charge
conjugation
68
3.9
Constants of motion
72
3.10
Central potentials
74
3.11
The hydrogenic atom
77
3.12
The Weyl equation
86
3.13
Helicity
and chirality
89
Problems
90
Guide to additional recommended reading
92
Quantization of the non-relativistic string
94
4.1
Equation of motion for the non-relativistic string
94
4.2
Solutions to the wave equation: normal modes
97
4.3
Generalized positions and momenta
98
4.4
Quantization
99
4.5
Quanta as particles
101
Problem
103
Guide to additional recommended reading
104
Introduction to relativistic quantum field theory:
propagators, interactions, and all that
105
5.1
Propagators
106
5.2
Lagrangians
109
5.3
Gauge interactions 111
5.4
Scattering theory and M0ller wave operators
113
5.5
The
S
operator
115
Guide to additional recommended reading
121
Quantization of the Klein-Gordon field
122
6.1
Canonical quantization
122
6.2
Field operators and commutators
126
6.3
Green s functions and propagators
129
6.4
The energy-momentum tensor
132
6.5
Classical external sources
134
6.6
The charged Klein-Gordon field
135
Problems
135
Guide to additional recommended reading
137
Contents ix
7
Quantization of the Dirac field
138
7.1
The free Dirac field
138
7.2
Quantization
140
7.3
Positive energy
141
7.4
The charge operator
144
7.5
Parity, time reversal, and charge conjugation
145
7.6
The
Majorana
field
148
7.7
Green s functions and propagators
150
7.8
Perturbation of electromagnetic interaction
152
7.9
Expansion of the
S
operator
153
Problems
154
Guide to additional recommended reading
154
8
Maxwell s equations and quantization of the electromagnetic field
155
8.1
Maxwell s equations
155
8.2
Quantization of the electromagnetic field
157
8.3
The
Casimir
effect
163
8.4
Covariant quantization of the electromagnetic field
167
Problems
174
Guide to additional recommended reading
174
9
The electromagnetic Lagrangian and introduction to Yang-Mills
theory
176
9.1
The electromagnetic Lagrangian
176
9.2
Massive vector fields
180
9.3
Gauge transformations and the covariant derivative
182
9.4
The Yang-Mills Lagrangian
183
Problems
186
Guide to additional recommended reading
187
10
Asymptotic fields and the LSZ formalism
188
10.1
Asymptotic fields and the
5
operator
188
10.2
The LSZ formalism for real scalar fields
192
10.3
Proton-meson scattering
195
Guide to additional recommended reading
196
11
Perturbation theory
197
11.1
Three different pictures
198
11.2
The unitary time-evolution operator
199
11.3
Perturbation of VEVs for
Γ
-ordered products
202
11.4
The relation between the physical vacuum
|Ω>
and the free
theory ground state |0)
205
12.1
Є+-
-e~
■
->
μ+ + μ
12.2
e~
-
Κμ
_>.
e-
+
μ-
12.3
e+-
-e~
■
->■
e+
+
e
12.4
e~
-
-e~
-
—>
e~
+
e~
12.5
e~
-
1-у -
>
e~~
+
γ
and
e+
+
e
χ
Contents
11.5
Specific correlation functions
207
11.6
Wick s theorem
211
11.7
Feynman rules and diagrams
215
11.8
Kinematics for binary reactions
222
11.9
The
5
matrix, the
Τ
matrix, cross-sections, and decay rates
225
Problems
232
Guide to additional recommended reading
234
12
Elementary processes of quantum electrodynamics
235
236
240
242
246
►
2γ
250
Problems
253
Guide to additional recommended reading
255
13
Introduction to regularization, renormalization, and radiative
corrections
257
13.1
The electron vertex correction
260
13.2
The electron self-energy
265
13.3
The photon self-energy
268
13.4
The renormalized electron charge
272
Problems
275
Guide to additional recommended reading
276
Appendix A A brief survey of group theory and its notation
278
A.
1
Groups
278
A.2 Lie groups
279
A.3 Lie algebras
281
A.4 Lie algebras of Lie groups
282
A.5 The angular momentum algebra
283
Bibliography
286
Index
288
Quantum
physics and special relativity theory were two of the
greatest breakthroughs in physics during the twentieth century and
contributed to paradigm shifts in physics. This book combines these
two discoveries to provide a complete description of the
fundamentali
of relativistic quantum physics, guiding the reader effortlessly from
relativistic quantum mechanics to basic quantum field theory.
The book gives a thorough and detailed treatment of the subject,
beginning with the classification of particles, the Klein-Gordon
equation and the Dirac equation. It then moves on to the
canonical quantization procedure of the Klein-Gordon, Dirac and
electromagnetic fields. Classical Yang-Mills theory, the LSZ formalism,
perturbation theory and elementary processes in QED are introduced,
and regularization, renormalization and radiative corrections are
explored. With exercises scattered through the text and problems
at the end of most chapters, the book is ideal for advanced
undergraduate and graduate students in theoretical physics.
Tommy
Ohlsson
is Professor in Theoretical Physics at the Royal
:hnology
(KTH),
Sweden. His main research field is
theoretical particle physics, especially neutrino physics and physics
bevond
the Standard Model
|
| any_adam_object | 1 |
| author | Ohlsson, Tommy |
| author_facet | Ohlsson, Tommy |
| author_role | aut |
| author_sort | Ohlsson, Tommy |
| author_variant | t o to |
| building | Verbundindex |
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| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| indexdate | 2024-07-09T23:59:43Z |
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| isbn | 9780521767262 |
| language | English |
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| spelling | Ohlsson, Tommy Verfasser aut Relativistic quantum physics from advanced quantum mechanics to introductory quantum field theory Tommy Ohlsson 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2011 XII, 297 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantum theory Quantentheorie Relativistische Quantentheorie (DE-588)4177688-4 gnd rswk-swf Relativistische Quantenmechanik (DE-588)4177687-2 gnd rswk-swf Relativistische Quantentheorie (DE-588)4177688-4 s DE-604 Relativistische Quantenmechanik (DE-588)4177687-2 s Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024152888&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024152888&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Ohlsson, Tommy Relativistic quantum physics from advanced quantum mechanics to introductory quantum field theory Quantum theory Quantentheorie Relativistische Quantentheorie (DE-588)4177688-4 gnd Relativistische Quantenmechanik (DE-588)4177687-2 gnd |
| subject_GND | (DE-588)4177688-4 (DE-588)4177687-2 |
| title | Relativistic quantum physics from advanced quantum mechanics to introductory quantum field theory |
| title_auth | Relativistic quantum physics from advanced quantum mechanics to introductory quantum field theory |
| title_exact_search | Relativistic quantum physics from advanced quantum mechanics to introductory quantum field theory |
| title_full | Relativistic quantum physics from advanced quantum mechanics to introductory quantum field theory Tommy Ohlsson |
| title_fullStr | Relativistic quantum physics from advanced quantum mechanics to introductory quantum field theory Tommy Ohlsson |
| title_full_unstemmed | Relativistic quantum physics from advanced quantum mechanics to introductory quantum field theory Tommy Ohlsson |
| title_short | Relativistic quantum physics |
| title_sort | relativistic quantum physics from advanced quantum mechanics to introductory quantum field theory |
| title_sub | from advanced quantum mechanics to introductory quantum field theory |
| topic | Quantum theory Quantentheorie Relativistische Quantentheorie (DE-588)4177688-4 gnd Relativistische Quantenmechanik (DE-588)4177687-2 gnd |
| topic_facet | Quantum theory Quantentheorie Relativistische Quantentheorie Relativistische Quantenmechanik |
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