94165 - TOPICS IN MATHEMATICAL METHODS AND MODELS IN THEORETICAL PHYSICS

Academic Year 2020/2021

Learning outcomes

The course introduces students to topics and tools of modern theoretical physics. At the end of the course, students will be able to deal with appropriate mathematical methods and apply theoretical models to the description of some among the most significative problems of physics

Course contents

The course contents are the following ones:

1) convolutions;

2) distribution theory;

3) Fourier transforms of functions and distributions;

4) basics of differential geometry;

5) bounded and unbounded operators;

6) propagators.

Readings/Bibliography

Lecture notes will be provided at the beginning of the course

Teaching methods

Blackboard lectures

Assessment methods

Oral interview. Please email the lecturers to book an appointment for the exam. The duration of the exam is around 30 minutes. The oral interview is divided into 2 parts: (1) solution of 1 or more exercises among those discussed during the lectures; (2) answers to questions related to the theory part of the lectures.

The final mark takes into account the performance of the student in both parts of the oral examination. To get a mark which is greater or equal to 18 it is necessary to have a satisfactory performance in at least one of the two parts of the exam. To get a very high evaluation is it necessary to pass both parts of the oral exam with distinction.

Office hours

See the website of Michele Cicoli

See the website of Gianmassimo Tasinato

See the website of Francisco Manuel Soares Verissimo Gil Pedro