Course: 2023/2024

Advanced quantum physics

(18315)

Requirements (Subjects that are assumed to be known)

Mathematics, basic Quantum Mechanics

Skills and learning outcomes

Description of contents: programme

1. Postulates of Quantum Mechanics. Dirac¿s matrix formulation. Observables and operators. Eigenvalues and eigenvectors. Discrete and continuous basis. Spectral decomposition. Temporal evolution of quantum systems. Density matrix.
2. Theory of angular momentum. Orbital angular momentum. Electron spin. Spin-orbit interaction. Stern-Gerlach experiment. Zeeman effect.
3. Approximation methods in Quantum Mechanics: perturbative and variational methods.
4. Introduction to light-matter interaction.
5. Multi-electronic atoms. Pauli¿s exclusion principle. Hartree¿s theory and the periodic table.
6. Introduction to Molecular Physics. Born-Oppenheimer model.

Learning activities and methodology

AF1. THEORETICAL-PRACTICAL CLASSES. Knowledge and concepts students mustacquire. Receive course notes and will have basic reference texts.Students partake in exercises to resolve practical problems
AF2. TUTORING SESSIONS. Individualized attendance (individual tutoring) or in-group (group tutoring) for students with a teacher.Subjects with 6 credits have 4 hours of tutoring/ 100% on- site attendance.
AF3. STUDENT INDIVIDUAL WORK OR GROUP WORK.Subjects with 6 credits have 98 hours/0% on-site.
AF8. WORKSHOPS AND LABORATORY SESSIONS. Subjects with 3 credits have 4 hours with 100% on-site instruction. Subjects with 6 credits have 8 hours/100% on-site instruction.
AF9. FINAL EXAM. Global assessment of knowledge, skills and capacities acquired throughout the course. It entails 4 hours/100% on-site
AF8. WORKSHOPS AND LABORATORY SESSIONS. Subjects with 3 credits have 4 hours with 100% on-site instruction. Subjects with 6 credits have 8 hours/100% on-site instruction.
MD1. THEORY CLASS. Classroom presentations by the teacher with IT and audiovisual support in which the subject`s main concepts are developed, while providing material and bibliography to complement student learning
MD2. PRACTICAL CLASS. Resolution of practical cases and problem, posed by the teacher, and carried out individually or in a group
MD3. TUTORING SESSIONS. Individualized attendance (individual tutoring sessions) or in-group (group tutoring sessions) for students with teacher as tutor. Subjects with 6 credits have 4 hours of tutoring/100% on-site.
MD6. LABORATORY PRACTICAL SESSIONS. Applied/experimental learning/teaching in workshops and laboratories under the tutor's supervision.

Assessment System

- % end-of-term-examination 60
- % of continuous assessment (assigments, laboratory, practicals...) 40

Basic Bibliography

- Claude Cohen-Tannoudji, Bernard Diu, and Franck Laloë . Quantum Mechanics. Ed. Wiley-Vch.
- David Ferry.. Quantum Mechanics. An Introduction for Device Physicists and Electrical Engineers. Third Edition. . CRC press 2001. 2001
- David Ferry.. Quantum Mechanics. An Introduction for Device Physicists and Electrical Engineers. Third Edition. . CRC press 2001. 2001
- Nouredine Zettili.. Quantum Mechanics: Concepts and Applications. . Ed. Wiley.
- Nouredine Zettili.. Quantum Mechanics: Concepts and Applications. . Ed. Wiley.

Additional Bibliography

- David A. B. Miller.. . Quantum Mechanics for Scientists and Engineers. Ed. Cambridge University Press..

The course syllabus may change due academic events or other reasons.