### Sciences

## Subject: QUANTUM MECHANICS (A.A. 2021/2022)

### degree course in PHYSICS

Course year | 2 |
---|---|

CFU | 9 |

Teaching units |
Unit Meccanica quantistica
Theory and Foundations of Physics (lesson)
- TAF: Compulsory subjects, characteristic of the class SSD: FIS/02 CFU: 9
Paolo BORDONE |

Exam type | oral |

Evaluation | final vote |

Teaching language | Italiano |

### Teachers

### Overview

The course aims to provide the basic elements of Quantum Mechanics.

Knowledge and understanding:

At the end of the course the student will have acquired

knowledge of the basic concepts of quantum physics starting from the main experimental results that generated it, up to its general theoretical formulation.

Applying knowledge and understanding:

At the end of the course should develop the ability to apply quantum mechanics to problems of microscopic physics and of physics of condensed matter.

Making judgements:

At the end of the course the student will be able to choose the appropriate method, classical or quantum, for the solution of any physical problems.

Communicating skills:

At the end of the course the student will be able to write reports on the subjects treated in the course and discuss them with appropriate language.

Learning skills:

At the end of the course the student will be able to read and understand by himself textbooks, also in English, on quantum mechanics.

### Admission requirements

A general knowledge of classical physics. Mathematical knowledge of calculus in the complex domain, differential equations and functional vector spaces.

### Course contents

The problem of the black-body radiation and Planck solution. Photoelectric and Compton effects. Partcle-wave nature of light. Spectroscopy and atomic-physics problems. Old quantum theory. De Broglie hypothesis and particle-wave nature of matter. Schroedinger equation, wave packets, uncertainty relations. Operators and commutators. Statistical interpretation of wave mechanics. Eigenfunctions of the hamiltonian and their use. One-dimensional problems. Principles of general quantum mechanics. The measurement problem. Dynamical equation in different schemes. Harmonic oscillator. Angular momentum and spin. Particle in an electromagnetic field. Time-independent and time-dependent perturbation theory.

### Teaching methods

Teaching is based, in the ordinary way, on lectures on the blackboard or through slide projection, in which the subject is illustrated in formal details and amply commented. The course consists of theoretical lessons on the topics illustrated in the "Course contents" section, and exercises aimed at providing the technical capacity to solve some fundamental problems of quantum mechanics. The course is held in Italian. All information relating to teaching, and teaching material, are uploaded to the Dolly platform. Working students who can not attend regular classes should contact the teacher to get informations about the study program, about the suggested textbooks and to establish the way to access the final oral examination. Office hours: Wednesday and Thursday from 3 p.m. to 4 p.m, or by e-mail appointment.

### Assessment methods

The evaluation of is made by written tests and final oral examination, lasting about an hour, with questions on all the main parts of the program: the wave and matrix formulation of quantum mechanics, angular momentum, perturbation theory, quantum correlations. The exams can be carried out face to face or remotely on the Meet platform depending on the evolution of the COVID19 health emergency. The evaluation out of thirty of the test is made known to the student at the end of the test itself.

### Learning outcomes

Knowledge and understanding:

At the end of the course the student will have acquired

knowledge of the basic concepts of quantum physics starting from the main experimental results that generated it, up to its general theoretical formulation.

Applying knowledge and understanding:

At the end of the course should develop the ability to apply quantum mechanics to problems of microscopic physics and of physics of condensed matter.

Making judgements:

At the end of the course the student will be able to choose the appropriate method, classical or quantum, for the solution of any physical problems.

Communicating skills:

At the end of the course the student will be able to write reports on the subjects treated in the course and discuss them with appropriate language.

Learning skills:

At the end of the course the student will be able to read and understand by himself textbooks, also in English, on quantum mechanics.

### Readings

- Messiah, A. "Quantum Mechanics", North-Holland Publishing Company, Amsterdam, Oxford 1962

- Sakurai, J.J. "Meccanica quantistica moderna", Zanichelli 1990

- B.H. Bransden & C.J. Joachain "Quantum Mechanics", Pearson Prentice Hall

- C. Cohen-Tannoudji, B. Diu, F. Laloe, "Quantum Mchanics", Wiley

- S. Forte, L Rottoli, "Fisica quantistica", Zanichelli 2018

Orario di ricevimento: Martedì e giovedì 10-12