PHYS-E0410 - Quantum Mechanics 2 D, Lecture, 3.9.2024-28.11.2024
Topic outline
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Course name:
PHYS-E0410 Quantum Mechanics 2 D (the D is a course code! the course does not concern "2D Quantum Mechanics"!)
Schedule:
Periods I and II, 3.9.2024 - 28.11.2024Tuesdays: 9:15 to 12:00 (Kide building, Sklodowska-Curie)
Thursdays: 12:15 to 14:00 (Kide building, Meitner or Nanotalo, 228)Note: To avoid long lectures on Tuesday mornings, we will try:Tuesday: 1h30 lecture + 1h15 exercises (9:15-10:45, 10:45-12:00)
Thursday: 1h lecture + 45 min exercises (12:15-13:15, 13:15-14:00)
Depending on the practicality of this system, we will retain it throughout the course or not.
Prerequisites:
Basic Quantum Mechanics course such as: PHYS-C0210 or PHYS-C0252. The following topics will assumed to have been studied:- Postulates of QM, Dirac notation
- Hilbert spaces, observables, operators, wavefunctions
- Basic linear algebra, commutators,
- Uncertainty principle, x and p operators
- Spin 1/2, Stern-Gerlach experiment
- Quantum harmonic oscillator
- (Time-independent) perturbation theory
- Square wells and potential steps
In addition, as we will study relativistic Quantum Mechanics, we will need some notions of special relativity. A reminder of necessary concepts is provided.
Subsequent courses:
The course provides the necessary knowledge for further courses involving quantum mechanics, e.g. PHYS-E0420 Many-body Quantum Mechanics and PHYS-E0551 Low Temperature Physics.
Intended learning outcomes:
After the course, a student can:
- Solve
quantum mechanical problems using adapted mathematical tools
- Evaluate the time-evolution of a quantum system
- Evaluate the probabilities of specific measurement outcomes
- Justify the electronic structure of basic atoms
- Analyse composite quantum systems and entanglement
- Describe the physical phenomena used to build quantum gates
- Account for decoherence processes in basic systems
- Predict the relativistic quantum behaviour of some particles
Course structure and workload:
The course consists of
- Lectures = 2h45 x 12 = 33h
- Exercise classes = 1h45 x 12 = 21h
- Finish 3 assignments at home = 12h x 3 = 36h
- Reviewing teaching material for 10 lectures 10x4h = 40h
- Exam = 3h
Evaluation:
The final grade (1-5) is based on graded assignments (3 assignments, in total 40% of final grade) and a written exam (60% of final grade).
Credits:
5 ECTS