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Instructors: Univ.-Prof. Dr. Peter van Dongen
Event type:
online: Lecture/practice class
Displayed in timetable as:
08.128.151
Hours per week:
6
Credits:
6,0
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Requirements / organisational issues:
see "Prüfungsordnung"
Contents:
- Introduction: single-particle and multi-particle Schrödinger equations, the spin and its physical consequences, fermions and bosons, the castage representation, field operators and field equations, elementary properties of the interacting Fermi gas
- Quantum theory of the radiation field: the classical Maxwell field, Lagrange and Hamilton formalism, quantization of the radiation field, interaction of the quantized radiation field with matter, Rayleigh and Thomson scattering, the Raman effect
- Relativistic wave equations: Klein-Gordon and Dirac equations, Lorentz transformations and covariance of the Dirac equation, solutions of the force-free Klein-Gordon and Dirac equations, orbital momentum and spin, solutions in the Coulomb potential, the Foldy-Wouthuysen transformation and relativistic corrections, trembling motion, parity, charge conjugation and time reversal
- Relativistic fields: Quantization of the Klein-Gordon field, quantization of the Dirac field, relationship between spin and statistics, interacting fields, perturbation theory, S-Matrix, simple scatterIng processes, Mott scattering
Recommended reading list:
- F. Schwabl, Quantenmechanik für Fortgeschrittene, Springer-Verlag, Berlin, 1997.
- J. J. Sakurai, Advanced Quantum Mechanics, Addison Wesley, Reading, 1967.
- J. D. Bjorken, S. D. Drell, Relativistische Quantenmechanik, B. I. Hochschultaschenbücher, Bd.98, Spektrum Akad. Verlag, Heidelberg, 1966.
- C. Itzykson, J.-B. Zuber, Quantum Field Theory, McGraw-Hill, New York, 1985.
- W. B. Berestetzki, E. M. Lifschitz, L. P. Pitajewski, Quantenelektrodynamik, Akademie-Verlag, Berlin, 1986.
- M. E. Peskin, D. V. Schroeder, An Introduction to Quantum Field Theory, Westview Press, Boulder, Colorado, 1995.
Additional information:
A handout will be provided.
Further information will be available from mid April 2021 on https://lms.uni-mainz.de/
Digital teaching:
The lecture will be held digitally.
More detailed information on the form of examination will be provided at a later stage.
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