Relativistic Quantum Mechanics and Path Integrals - (A.A. 2024/25)
Prof. Fiorenzo Bastianelli
Lecture notes
Group theory
Relativistic quantum mechanics
Preliminaries on path integrals and classical mechanics (Optional)
Path integrals
Textbooks and references
Relativistic Quantum Mechanics
A classic and useful textbook is:
- Bjorken and Drell, "Relativistic Quantum Mechanics" (Mc Graw-Hill)
Relativistic wave equations (Klein-Gordon, Dirac, Maxwell-Proca)
can be studied also on QFT textbooks, such as
- M. Srednicki, "Quantum Field Theory" (CUP);
- C. Itzykson, J.B. Zuber, "Quantum Field Theory" (Dover);
- S. Weinberg, "The Quantum Theory of Fields" (CUP).
Useful references for the various types of Green functions
(retarded, advanced, etc.) are:
- Itzykson, Zuber, "Quantum Field Theory" - pag. 32-36
- B. DeWitt, "Dynamical Theory of Groups and Fields - pag. 30-34
- B. de Wit, J. Smith, "Fields in Particle Theory" - pag. 39-50
- G. Ribani,
"Teoria classica dei campi e propagazione di particelle",
(in italian)
Path Integrals
Same classical textbooks are:
- Feynman and Hibbs, "Quantum Mechanics and Path Integrals"
- Schulman L., "Techniques and Applications of Path Integration"
Group Theory
See textbooks suggested
here