Relativistic Quantum Mechanics and Path Integrals (A.A. 2018/19)
Prof. Fiorenzo Bastianelli
Lecture notes
Relativistic quantum mechanics (updated 12.11.2018)
(old version in italian
Equazioni d'onda relativistiche)
Preliminaries on path integrals and classical mechanics (updated 19.11.2018)
(old version in italian
Meccanica classica e particelle)
Path integrals (updated 10.12.2018)
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 on various QFT textbooks, such as
- M. Srednicki, "Quantum Field Theory" (free on
http://www.physics.ucsb.edu/~mark/qft.html) (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
- de Wit, Smith, "Fields in Particle Theory" - pag. 39-50
Path Integrals
Useful textbooks are:
- Feynman and Hibbs, "Quantum Mechanics and Path Integrals"
- Schulman L., "Techniques and Applications of Path Integration"