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Computational Quantum Physics
Last Updated: 2026-06-03 00:14:30
Abstract
This course provides an introduction to simulation methods for quantum systems. Starting from the one-body problem, a special emphasis is on quantum many-body problems, where we cover both approximate methods (Hartree-Fock, density functional theory) and exact methods (exact diagonalization, matrix product states, and quantum Monte Carlo methods).
Objective
Through lectures and practical programming exercises, after this course: Students are able to describe the difficulties of quantum mechanical simulations. Students are able to explain the strengths and weaknesses of the methods covered. Students are able to select an appropriate method for a given problem. Students are able to implement basic versions of all algorithms discussed.
Content
Equilibrium and out-of-equilibrium properties of single-particle and many-particle quantum systems through numerically exact methods. Variational methods including density matrix renormalization group, variational Monte Carlo, neural networks, and Hartree-Fock methods. Quantum Monte Carlo methods.
Resources
Lecture Notes
A script for this lecture will be provided.
Literature
A list of additional references will be provided in the script.
General Information
- Language
- English
- Levels
- BSC , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Computational Quantum Physics |
|
2 h weekly |
| exercise | Computational Quantum Physics |
|
2 h weekly |
Offered In
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Physics (For the field of specialization `Physics' basic knowledge in quantum mechanics is required.)
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Application Area (Only necessary and eligible for the Master degree in Applied Mathematics. One of the application areas specified must be selected for the category Application Area for the Master degree in Applied Mathematics. At least 8 credits are required in the chosen application area. Credits from other application areas cannot be recognised for further application areas.)
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Theoretical Physics (In the Master's programme in Applied Mathematics 402-0204-00L Electrodynamics is eligible as a course unit in the application area Theoretical Physics, but only if 402-0224-00L Theoretical Physics wasn't or isn't recognised for credits (neither in the Bachelor's nor in the Master's programme). For the category assignment take contact with the Study Administration Office ( ) after having received the credits.)
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Electives (This is a selection of courses particularly suitable for the MSc QE. In agreement with the tutor, students may choose other courses from the ETH course catalogue.)
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