SPECIAL RELATIVITY

Degree course: 
Corso di First cycle degree in Physics
Academic year when starting the degree: 
2016/2017
Year: 
2
Academic year in which the course will be held: 
2017/2018
Course type: 
Compulsory subjects, characteristic of the class
Credits: 
5
Period: 
Second semester
Standard lectures hours: 
50
Detail of lecture’s hours: 
Lesson (50 hours)
Requirements: 

Quantum mechanics. Hilbert spaces. Distribution theory

Final Examination: 
Orale

Blackboard exercises during the lectures

Assessment: 
Voto Finale

This is a course of Advanced Quantum Mechanics. The main topics is scattering theory both from a potential in non relativistic quantum mechanics and in first quantized relativistic quantum theory (Dirac Equation)

Scattering from a potential
1.The Cross Section
2.The Scattering of a Wave Packet
3.Green's Functions in Scattering Theory
4.The Born Approximation
5.Partial Waves and Phase Shifts
6.Determination of the Phase Shifts and Scattering Resonances
7.Phase Shifts and Green's Functions
8.Scattering in a Coulomb Field
9.The Integral Equations of Scattering Theory
10.Properties of the Scattering Matrix
11.Rotational Invariance, Time Reversal Symmetry, and the S Matrix
12.The Optical Theorem

Relativistic quantum mechanics
1.The Dirac Equation
2.Lorentz covariance
3.Plane wave solutions
4.Non relativistic limit
5.Hole theory
6.Perturbation theory and the Feynman propagator
7.Feynman diagrams
8.Low order processes

•L. Schiff Quantum mechanics
•E. Merzbacher Quantum mechanics
•J Bijorken S Drell Relativistic Quantum Mechanics

Blackboard lectures. Exercises during the lectures

Oral examination

Professors