Relativistic Quantum Mechanics and Path Integrals (A.A. 2021/22)

Prof. Fiorenzo Bastianelli

Program

Lecture notes

Relativistic quantum mechanics
Preliminaries on path integrals and classical mechanics
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"