Degree | Type | Year |
---|---|---|
Physics | OT | 4 |
You can view this information at the end of this document.
Prior knowledge of quantum physics, Hilbert spaces, operators, and group theory is required, so it is advisable to have studied Quantum Physics I, Quantum Physics II and Advanced Mathematical Methods.
The objective of this subject is for students to master various methods and formal aspects of Quantum Mechanics that allow them to deepen their knowledge and that have a wide range of applications in various areas of modern physics such as atomic, nuclear, particle, condensed matter, solid state, photonics, etc. The use of Hilbert spaces will be explored in depth, the different time evolution images will be introduced as well as the unitary operators of time evolution and those of symmetries realizations, continuous and discrete. The most important applications to assimilate are the continuous spectrum operators, the quantum-mechanical addition of angular momenta, identical particles and the theory of time-dependent perturbations, as well as the notable examples of time-dependent potentials.
1) Theory of Angular Momentum: Addition of Angular Momenta
2) Symmetry in Quantum Mechanics: Symmetries and Conservation Laws; Discrete Symmetries (Parity, Time Reversal)
3) Approximation Methods: Time-Dependent Potentials; Time-Dependent Perturbation Theory
4) Scattering Theory: The Scattering Amplitude; The Born Approximation; Phase Shifts and Partial Waves
5) Identical Particles: Quantum Fields; Second Quantization
6) Relativistic Quantum Mechanics: The Klein-Gordon Equation; The Dirac Equation
Title | Hours | ECTS | Learning Outcomes |
---|---|---|---|
Type: Directed | |||
Exercises | 16 | 0.64 | 2, 1, 3, 4, 5, 7, 19, 16, 18, 15, 13, 20, 21, 8, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 28 |
Theory Lessons | 33 | 1.32 | 2, 3, 4, 5, 7, 19, 16, 18, 15, 13, 20, 21, 8, 22, 26, 9, 10, 27, 25, 24, 29, 12, 11, 28 |
Type: Autonomous | |||
Discussion, Work Groups, Group Exercises | 24 | 0.96 | 2, 1, 3, 4, 6, 5, 7, 19, 14, 16, 18, 15, 17, 13, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Study of Theoretical Foundations | 48 | 1.92 | 2, 1, 3, 4, 6, 5, 7, 19, 14, 16, 18, 15, 17, 13, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Theory Lessons and Exercises.
Classwork and Homework.
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 | Weighting | Hours | ECTS | Learning Outcomes |
---|---|---|---|---|
Assignments: first part topics | 10% | 10 | 0.4 | 2, 1, 3, 4, 6, 5, 7, 19, 14, 16, 18, 15, 17, 13, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Assignments: second part topics | 10% | 10 | 0.4 | 2, 1, 3, 4, 6, 5, 7, 19, 14, 16, 18, 15, 17, 13, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Exam: first part topics | 40% | 3 | 0.12 | 2, 1, 3, 4, 6, 5, 7, 19, 14, 16, 18, 15, 17, 13, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Exam: second part topics | 40% | 3 | 0.12 | 2, 1, 3, 4, 6, 5, 7, 19, 14, 16, 18, 15, 17, 13, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Make-up Exam: all topics | 80% | 3 | 0.12 | 2, 1, 3, 4, 6, 5, 7, 19, 14, 16, 18, 15, 17, 13, 20, 21, 8, 23, 22, 26, 9, 10, 27, 25, 24, 29, 30, 12, 11, 28 |
Exam and submission of exercises for the topics in the first partial;
Exam and submission of exercises for the topics in the second partial;
Make-up exam: all topics;
To participate in the make-up exam, you must have been assessed in both partial exams without requiring a minimum grade;
The make-up exam covers the entire subject;
You may attend the make-up exam to improve your grade. If so, your final grade for the exam portion will be the one obtained in the make-up exam.
Single assessment: The students that opted for single assessment evaluation will have to perform a final evaluation that will first consist of a test of the whole syllabus. This test will take place on the same date, time, and place as the test of the continuous assessment modality. Besides, before the exam, the student will deliver 2 deliveries consisting in resolved exercises of a selected set of exercises proposed at an earlier date. For the mark, 80% of the final mark will come from the exam and each of the deliveries will count 10%. The students that opted for single assessment evaluation will have the chance of passing the module or improving their mark at the same re-evaluation test as the students that had opted for the continuous assessment option (both exams will be identical and will take place on the same day, time, and in the same place). However, it is mandatory to at least have taken the previous final test. At this test, it is only possible to improve the mark of the exam. The part of the deliveries can not be improved in the re-evaluation.
Software is not required.
Please note that this information is provisional until 30 November 2025. You can check it through this link. To consult the language you will need to enter the CODE of the subject.
Name | Group | Language | Semester | Turn |
---|---|---|---|---|
(PAUL) Classroom practices | 1 | English | first semester | morning-mixed |
(TE) Theory | 1 | English | first semester | morning-mixed |