LEARNING OUTCOMES
The course is a master's-level class on advanced quantum mechanics, assuming some basic knowledge of quantum physics and mathematical tools such a linear algebra and complex analysis.
The course consists of lectures, exercises classes, and homework problems.
After the course, a student can:
- Solve quantum mechanical problems using mathematical tools such the representation of physical observables by Hermitian operators and fundamental symmetries
- Evaluate the time-evolution of a quantum system and 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
- Explain the outcome of scattering experiments
Credits: 5
Schedule: 03.09.2024 - 03.12.2024
Teacher in charge (valid for whole curriculum period):
Teacher in charge (applies in this implementation): Laure Mercier de Lepinay
Contact information for the course (applies in this implementation):
CEFR level (valid for whole curriculum period):
Language of instruction and studies (applies in this implementation):
Teaching language: English. Languages of study attainment: English
CONTENT, ASSESSMENT AND WORKLOAD
Content
valid for whole curriculum period:
- Quantum states and wave functions, quantum measurements
- Hilbert space, unitary operators, symmetries and generators
- Spin and angular momentum, the Bloch sphere, spin resonance
- Coherent states, decoherence of two-level systems
- Composite systems and entanglement
- Bell's inequaility and the EPR paradox
- Wavefunction symmetry and Pauli's exclusion principle
- Hydrogen atom (and hydrogenoids)'s electronic structure
- Introduction to relativistic quantum mechanics
- Scattering in >1D
Assessment Methods and Criteria
valid for whole curriculum period:
Homework and written final exam.
Workload
valid for whole curriculum period:
Lectures, exercise class and homework problems.
DETAILS
Study Material
valid for whole curriculum period:
The course material will be listed on MyCourses together with the lecture notes.
Substitutes for Courses
valid for whole curriculum period:
Prerequisites
valid for whole curriculum period:
SDG: Sustainable Development Goals
9 Industry, Innovation and Infrastructure
FURTHER INFORMATION
Further Information
valid for whole curriculum period:
Teaching Language: English
Teaching Period: 2024-2025 Autumn I - II
2025-2026 Autumn I - II