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SCATTERING THEORY

Academic year and teacher
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Versione italiana
Academic year
2018/2019
Teacher
GIUSEPPE PAGLIARA
Credits
6
Didactic period
Secondo Semestre
SSD
FIS/02

Training objectives

Knowledge: to provide the basic elements of scattering theory within non-relativistic quantum mechanics. Abilities: to be able to solve simple problems associated with scattering of particles.

Prerequisites

Very good knowledge of non-relativistic quantum mechanics.

Course programme

The course touches a large number of topics, each of them illustrated in 2-4 hours of lesson.
- Moeller operator
- Lippmann-Schwinger equation
- Born approximation
- Eikonal approximation
- optical theorem
- partial waves expansion
- low energy scattering, scattering lenght, effective range
- quasi bound states, resonances
- analytic properties of scattering amplitude, Regge theory
- anelastic scattering
- Bethe-Block formula
- scattering with a coulomb potential.

Didactic methods

It is a theoretical course.

Learning assessment procedures

The student has to be able to describe and to use the main theoretical tecniques studied during the course. The preparation of the student will be tested from his/her ability to discuss the problems of scattering theory introduced in the course.

Reference texts

Sakurai: modern quantum mechanics
Landau: quantum mechanics
On a few specific topics notes will be provided by the teacher.