Subject
Advanced quantum mechanics
General details of the subject
- Mode
- Face-to-face degree course
- Language
- English
Description and contextualization of the subject
TBATeaching staff
| Name | Institution | Category | Doctor | Teaching profile | Area | |
|---|---|---|---|---|---|---|
| MAÑES PALACIOS, JUAN LUIS | University of the Basque Country | Profesorado Catedratico De Universidad | Doctor | Not bilingual | Condensed Matter Physics | juanluis.manes@ehu.eus |
Competencies
| Name | Weight |
|---|---|
| Problem solving | 70.0 % |
| Understanding the topics and being able to present them | 15.0 % |
| To be able to present a topic not explicitly included in the syllabus | 15.0 % |
Study types
| Type | Face-to-face hours | Non face-to-face hours | Total hours |
|---|---|---|---|
| Lecture-based | 30 | 40 | 70 |
| Seminar | 10 | 15 | 25 |
| Applied classroom-based groups | 10 | 20 | 30 |
Assessment systems
| Name | Minimum weighting | Maximum weighting |
|---|---|---|
| Written examination | 100.0 % | 100.0 % |
Ordinary call: orientations and renunciation
The mark will be solely based on the final exam.WAIVERS: Failure to attend the final exam will result in a “deferral” (NO PRESENTADO) mark.
Temary
- Relativistic quantum mechanics (8 hours)The Klein-Gordon equation. The Dirac equation. Coupling to electromagnetic fields and non- relativistic limits. The limitations of RQM.
- Path integrals (9 hours)
Propagators as path integrals. The free particle and the harmonic oscillator. Saddle-point method and semiclassical approximation. Relation to statistical mechanics. Infinite determinants.
- The WKB method (5 hours)
Connection with path integrals. Bound states and Bohr-Sommerfeld quantization rules. Tunneling amplitudes.
- Coherent states and classical fields (2 hours)
Harmonic oscillators and quantum fields. The classical limit. Green's functions and particle creation by a classical source.
- Landau levels (3 hours)
Motion in a magnetic field. Momentum and velocity operators. Spectrum in a constant magnetic field. Landau levels and quantum Hall effect.
- Berry's phase (6 hours)
The adiabatic principle. Geometric phase and Berry's vector potential. Examples.
- Introduction to quantum open systems (9 hours)
Density matrices and entanglement. Generalized measurements. Superoperators and quantum jumps. The Lindblad equation.
Bibliography
Basic bibliography
R. Shankar, Principles of Quantum Mechanics, 2nd edition, Plenum Press 1994L. I. Schiff, Quantum Mechanics, McGraw Hill 1968
K. Gottfried and T.-M. Yang, Quantum Mechanics: Fundamentals, 2nd edition, Springer
2003
C. Cohen-Tannoudji, Quantum Mechanics, 2nd edition, Wiley 1991
J. J. Sakurai, Modern Quantum Mechanics, Addison-Wesley 1994
M.Le Bellac, Quantum Mechanics, Cambridge U. Press 2012