cod. 1006147

Academic year 2021/22
3° year of course - Second semester
- Raffaella BURIONI - Carlo MENEGHELLI
Academic discipline
Fisica teorica, modelli e metodi matematici (FIS/02)
Attività formative affini o integrative
Type of training activity
52 hours
of face-to-face activities
6 credits
hub: PARMA
course unit

Learning objectives

After attending this course, the student is expected to be able to:
- Know the Path Integral formulation of Quantum Mechanics, and to apply it to the solution of problems, both through exact solutions, when existing, or by applying approximation methods;
- Know the different definitions of entropy and the relation between entropy and Information;
- Know and Apply methods in statistical physics to simple interdisciplinary problems;
- Being able to find bibliographic references of frontline research topics and to evaluate the quality of scientific papers;
- Communicate effectively, through the preparation of scientific seminars on modern topics in theoretical physics.
- Being able to self-evaluate one's knowledge of a wide field such as modern theoretical physics, differentiating between conceptual and technical aspects.


Quantum Mechanics and Basic Statistical Physics

Course unit content

The lectures provide an overview on results and methods of modern Theoretical Physics.
This year, the course will be organised in two sections:
- Theormodynamical Entropy, Statistical Entropy and Information, with interdisciplinary applications to data science and learning given by Prof. Burioni;
- Path Integral formulation of Quantum Mechanics and applications, given by Prof. Meneghelli.

Full programme

First part:
- Thermodynamical Entropy and Statistical Entropy
- Irreversibility and the H theorem
- Relations between entropy and information;
- Variational principles of maximum entropy and statistical inference;
- Applications to Data science and learning.

Second part:
- Path Integral Path formalism;
- Functional and Euclidean methods;
- The semiclassical approximation.
- Classic Black Holes;
- Metrics and horizons;
- Creation of Couples and Hawking radiation;
- Thermodynamics of Black Holes and the "Information Paradox".


Lecture notes will be provided, to be integrated with other material suggested by the lecturers.

Teaching methods

Blackboard lectures.
Notes of the lectures or of some of its parts, will be circulated via Elly. The teaching material will be enriched with the video recording of the lessons or with other material that will be made available on the University platforms.

Assessment methods and criteria

oral examination. The student will prepare a short seminar on a subject agreed with the lecturers. This will be the initial part of the examination, which will go on with questions on the rest of the subjects taught during the course. The oral examination will last between 15 and 30 minutes. The evaluation will be agreed between the lecturers, and will be communicated to the student immediately after the end of the interview.

Other information

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