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Thomas Fermi Theory for Atoms and Molecules (University of Zurich)
Last Updated: 2026-02-05 16:14:48
Abstract
The course aims to familiarise the students with Thomas-Fermi theory, a simplified model in quantum mechanics that provides accurate predictions for the behavior of more complex quantum systems of matter (electrons and nuclei).
Objective
The course aims to familiarise the students with Thomas-Fermi (TF) theory, a simplified model in quantum mechanics that provides accurate predictions for the behavior of more complex quantum systems of matter (electrons and nuclei). After the course students should have knowledge on the main properties of the TF functional and its connection with quantum mechanics.
Content
The course aims to familiarise the students with Thomas-Fermi (TF) theory, a simplified model in quantum mechanics that provides accurate predictions for the behavior of more complex quantum systems of matter (electrons and nuclei). Due to its simplicity, TF theory can be studied with standard analytical techniques. The course will begin with an introduction to the concepts and tools of quantum mechanics that are relevant for the topic. Following this, we will delve into the definition and rationale behind the TF functional and study its basic properties (e.g. the existence of minimizers and the binding mechanism). The third main topic will be the proof that TF theory is indeed a good approximation to a quantum mechanical model of matter (electrons and nuclei).
Resources
Lecture Notes
Detailed lecture notes will be provided, as well as references to further online material (reviews, further lecture notes..).
General Information
- Language
- English
- Levels
- BSC , MSC
Examination
- Type
- graded semester performance
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Thomas Fermi Theory for Atoms and Molecules (University of Zurich) | No time listed | 2 h weekly |
Offered In
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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