Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

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
Prerequisites
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