87959 - RELATIVISTIC QUANTUM MECHANICS AND PATH INTEGRALS

Course Unit Page

SDGs

This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.

Quality education

Academic Year 2020/2021

Learning outcomes

At the end of the course the student will learn the basic elements of the Klein-Gordon and Dirac equations, and the path integral formulation of quantum mechanics. The student will be familiar with the use of the Klein-Gordon and Dirac equations for the description of relativistic particles of spin 0 and 1/2 and will be able to master the path integral for setting up the perturbative expansions of interacting theories.

Course contents

Review of special relativity

Mechanics of relativistic particles

Klein-Gordon equation 

Dirac equation

Other relativistic wave equations

Path integrals

Readings/Bibliography

Lecture notes.

Suggested books for further study:

Bjorken and Drell, Relativistic Quantum Mechanics.

Weinberg, The Quantum Theory of Fields, Volume 1: Foundations.

Itzykson and Zuber, Quantum Field Theory.

Teaching methods

Blackboard lessons

Assessment methods

Oral examination

Office hours

See the website of Fiorenzo Bastianelli