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Quantum Mechanics for Mathematicians
Last Updated: 2026-02-05 15:41:20
Abstract
Introduction to quantum mechanics aimed at mathematics students
Objective
The course begins with the fundamentals of classical mechanics and its mathematical description i.e. Hamiltonian dynamics. We will introduce the notion of states and observables in the classical setting and further on its counter parts in the quantum setting. We then will discuss quantisation and the mathematical formulation of quantum mechanics. Further on we will study the Heisenberg’s uncertainty relations and quantum entanglement. The course then goes on to study the dynamics of quantum systems described by the Schrödinger’s equation.
Content
1. Hamiltonian mechanics and fundamentals of symplectic geometry 2. Classical observables and Poisson bracket 3. Basic principles of quantum mechanics and quantisation 4. Heisenberg’s uncertainty relations 5. Quantum entanglement and EPR paradox 6. Schrödinger’s equation
Resources
Literature
Takhtajan, Leon A. Quantum mechanics for mathematicians. Graduate Studies in Mathematics, 95. American Mathematical Society, Providence, RI, 2008. xvi+387 pp. ISBN: 978-0-8218-4630-8
General Information
- Language
- English
- Levels
- BSC , MSC
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Quantum Mechanics for Mathematicians
no class on 5 March 2020
|
|
2 h weekly |
Offered In
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Selection: Mathematical Physics, Theoretical Physics (In the Bachelor's programme in Mathematics 402-0204-00L Electrodynamics is eligible as an elective course, but only if 402-0224-00L Theoretical Physics 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 (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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