Field Quantization

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Springer Science & Business Media, Jun 29, 2013 - Science - 441 pages
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Theoretical physics has become a many-faceted science. For the young stu dent it is difficult enough to cope with the overwhelming amount of new scientific material that has to be learned, let alone obtain an overview of the entire field, which ranges from mechanics through electrodynamics, quantum mechanics, field theory, nuclear and heavy-ion science, statistical mechanics, thermodynamics, and solid-state theory to elementary-particle physics. And this knowledge should be acquired in just 8-10 semesters, during which, in addition, a Diploma or Master's thesis has to be worked on or examinations prepared for. All this can be achieved only if the university teachers help to introduce the student to the new disciplines as early on as possible, in order to create interest and excitement that in turn set free essential new energy. At the Johann Wolfgang Goethe University in Frankfurt we therefore con front the student with theoretical physics immediately, in the first semester. Theoretical Mechanics I and II, Electrodynamics, and Quantum Mechanics I - An Introduction are the basic courses during the first two years. These lectures are supplemented with many mathematical explanations and much support material. After the fourth semester of studies, graduate work begins, and Quantum Mechanics II - Symmetries, Statistical Mechanics and Ther modynamics, Relativistic Quantum Mechanics, Quantum Electrodynamics, the Gauge Theory of Weak Interactions, and Quantum Chromo dynamics are obligatory.
 

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Contents

Classical Field Theory
31
3
56
The KleinGordon Equation
75
The Dirac Equation
117
The Maxwell and Proca Equations
141
Quantization of the Photon Field
171
Interacting Quantum Fields
211
The Reduction Formalism
269
Greens Functions and the S Matrix of 6 Theory
295
Discrete Symmetry Transformations 301
300
The PathIntegral Method
337
Path Integrals in Field Theory 365
364
Index
433
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