87970 - ADVANCED MATHEMATICAL METHODS FOR PHYSICS

Anno Accademico 2019/2020

  • Modalità didattica: Convenzionale - Lezioni in presenza
  • Campus: Bologna
  • Corso: Laurea Magistrale in Physics (cod. 9245)

Conoscenze e abilità da conseguire

At the end of the course the student will learn some of the mathematical tools necessary for the study of modern theoretical physics. In particular, he/she will acquire advanced analytical and geometrical methods that have a wide range of theoretical applications.

Contenuti

1. Manifolds, vectors, tensors, forms.

2. Tensor calculus.

3. Lie derivatives.

4. Differential forms and their applications.

5. Lie groups and their Lie algebras.

6. Metric and affine connection. Riemannian geometry.

Testi/Bibliografia

My lectures notes.

Metodi didattici

Lectures on the blackboard.

Modalità di verifica e valutazione dell'apprendimento

Oral exams.

Strumenti a supporto della didattica

Lectures.

Orario di ricevimento

Consulta il sito web di Alexandr Kamenchtchik