Degree | Type | Year | Semester |
---|---|---|---|
2500097 Physics | OT | 4 | 1 |
It is advisable to have studied
- Quantum Physics I
- Quantum Physics II
It is also recommended to take or have completed:
- Advanced Mathematical Methods
The goal of this course is that the student master several methods and formal aspects of Quantum Mechanics that allow them to deepen their knowledge and have a wide range of applications in various fields of modern physics such as atomic physics, nuclear, particles, condensed matter, solide state, photonics, etc. Hilbert Spaces and its formalism will be extensively used, the different images of temporary evolution will be introduced as well as the unitary operators of temporary evolution and those of symmetries, both continuous and discrete. The most important applications are the operators of continuous spectrum, the quantum addition of angular momenta, identical particles and time-dependent perturbation theory, as well as the remarkable examples of time-dependent potentials.
0. Overview of the postulates.
1. Review of basic QM. Angular momentum and spin. Solutions to Schroedinger equation. Pertubation theory.
2. Two-state systems.
3. Classical limit. Heisenberg picture.
4. Symmetry in QM (1). Space and time displacements. Space and time inversions. Particles in periodic potentials.
5. Symmetry in QM (2). Rotations. Formal theory of angular momentum. Addition of angular momentum.
6 .Symmetry in QM (3). Identical particles.
7. Time-dependent perturbation theory.
8. TBA (depends on available time).
This course will be given entirely in English. All the course material (problems, homework and exams) will be distributed in English and students will be encouraged to do all the exercises/exams in English, although in Catalan or Spanish will also be accepted and assesed with the same criteria.
This course will consist of theory and problem classes. There will be an equilibrium among work at class and at home.
Problem lists will be given to be solved individually or in groups. The solutions to the problelms will be discussed in the problem classes.
The students will solve individually and hand in after a limited time a selection of 'homework' problems that will count for the final course mark.
The students will have to prepare 2 written exams: a mid-term exam and a final exam, the latter of which can be re-taken once.
Annotation: Within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.
Title | Hours | ECTS | Learning Outcomes |
---|---|---|---|
Type: Directed | |||
Hours of attendance (exercises) | 16 | 0.64 | 3, 4, 5, 7, 21, 22, 26, 9, 27, 11, 28 |
Hours of attendance (theory) | 33 | 1.32 | 3, 19, 13, 16, 18, 15, 17, 14, 23, 26, 10, 25, 24 |
Type: Autonomous | |||
Discussion and work in group | 46 | 1.84 | 3, 4, 7, 19, 16, 18, 17, 14, 20, 21, 8, 23, 27, 29, 30, 12 |
Study of theoretical concepts | 47 | 1.88 | 4, 5, 6, 7, 19, 13, 16, 18, 15, 17, 14, 8, 23, 9, 10, 27, 29, 12 |
There will be a resit exam for students that: a) have done Exam 1 and Exam 2 and b) have failed the course with a mark of at least 3.5 (over 10).
Details on this exam will be announced in due course.
Students not attending Exam 2 will have the mark "Not presented - no avaluable"
Title | Weighting | Hours | ECTS | Learning Outcomes |
---|---|---|---|---|
Exam 1 | 30% | 2 | 0.08 | 2, 1, 3, 4, 5, 6, 7, 19, 13, 16, 18, 15, 17, 14, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Exam 2 (Final) | 50% | 2 | 0.08 | 2, 1, 3, 4, 5, 6, 7, 19, 13, 16, 18, 15, 17, 14, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Homework | 20% | 2 | 0.08 | 2, 1, 3, 4, 5, 6, 7, 19, 13, 16, 18, 15, 17, 14, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Resit Exam | 85% | 2 | 0.08 | 2, 1, 3, 4, 5, 6, 7, 19, 13, 16, 18, 15, 17, 14, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
J.J. Sakurai and J. Napolitano, “Modern Quantum Mechanics”, Pearson Education
Others:
D.J. Griffiths and D.F. Schroeter, “Introduction to Quantum Mechanics” 3rd edition, Cambridge University Press
L. I. Schiff, "Quantum Mechanics", Ed. McGraw-Hill.
C. Cohen-Tannoudji, B. Diu and F. Laloe "Quantum Mechanics", Vols 1&2, Ed. Hermann and Wiley & Sons.
W. Greiner, "Quantum Mechanics: An Introduction", Ed. Springer.
W. Greiner and B. M\"uller, "Quantum Mechanics. Symmetries", Ed. Springer.
R. Shankar, "Principles of Quantum Mechanics", Ed. Plenum Press.
No "programari"