00709 - Mathematical Methods Of Physics (M-Z)

Learning outcomes

At the end of the course the student acquires the mathematical notions and methods necessary for the understanding of the modern physics. First, the student studies the theory of holomorphic functions and is able to calculate the contour integrals in the complex plane. Then the student learns element of the topology, linear and normed spaces. Then the student studies the Hilbert spaces and their operators, which permits to use the mathematical formalism of quantum mechanics.

Course contents

1. Theory of functions of a complex variable

2. Topological spaces

3. Linear spaces and normed spaces

4. Hilbert spaces

5. Operators in the Hilbert spaces

Readings/Bibliography

Lecture notes by Fabio Ortolani (in italian)

Teaching methods

Traditional lecture-based teaching (using the blackboard, without slides).

Assessment methods

Oral examinations, including the solution of one or more exercises (approximately 30 minutes in duration). The list of exercises is made available to students in advance. All exercises are fully solved in the course notes and/or discussed during lectures. The remaining part of the examination consists of the discussion of definitions, theorems, and concepts developed throughout the course, as well as the presentation of at least one theorem proof. Students are expected to demonstrate computational skills and logical reasoning abilities. The final grade is determined by taking into account the student's computational skills, logical reasoning abilities, knowledge of the concepts and definitions introduced during the course, commitment to the learning process, and ability to understand topics that, while not covered directly in the lectures, are closely related to the course material. The final grade is determined by taking into account the student's computational skills, logical reasoning abilities, knowledge of the concepts and definitions introduced during the course,  and ability to understand topics that, while not covered directly in the lectures, are closely related to the course material.

 

For students with learning disabilities or temporary or permanent disabilities, please contact the relevant University office promptly (https://site.unibo.it/studenti-con-disabilita-e-dsa/it). The office will recommend any adjustments, which must be submitted to the instructor for approval 15 days in advance, who will evaluate their suitability, also taking into account the course's learning objectives.

Teaching tools

The detailed course syllabus, organized lecture by lecture (including a specific indication of the topics covered in the final examination), will be published on virtuale.unibo.it.

Office hours

See the website of Pierbiagio Pieri