Quantum Effects - An Invitation for Mathematicians

Module MA5047

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

MA5047 is a semester module in English language at Master’s level which is offered irregular.

This module description is valid from WS 2013/4 to WS 2013/4.

Total workloadContact hoursCredits (ECTS)
150 h 45 h 5 CP

Content, Learning Outcome and Preconditions


The course provides an introduction to the mathematical framework of quantum theory without diving too deep into the physical details or the functional analytic issues. The aim is to understand several of the most prominent quantum effects such as entanglement, teleportation, no-cloning, uncertainty relations, Zeno effect, Berry phases, Unruh-and Casimir effects.

Learning Outcome

At the end of the module, students are familiar with the mathematical framework in which quantum theory is formulated. They are capable of understanding and explaining some of the most prominent quantum effects.


MA1101 Linear Algebra 1 MA1102 Linear Algebra 2 MA1001 Analysis 1 MA1002 Analysis 2 Useful: MA1401 Introduction to Probabilty Theory MA3001 Functional Analysis MA2003 Measure and Integration MA2004 Vektor Analysis

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

Lecture, tutorial


Blackboard, overhead projector if needed


Script will be compiled on the go, over the course of the lecture. Bibliographic references on individual topics will be given in the lecture.

Module Exam

Description of exams and course work

Written or oral exam

Exam Repetition

There is a possibility to take the exam at the end of the semester.

Condensed Matter

When atoms interact things can get interesting. Fundamental research on the underlying properties of materials and nanostructures and exploration of the potential they provide for applications.

Nuclei, Particles, Astrophysics

A journey of discovery to understanding our world at the subatomic scale, from the nuclei inside atoms down to the most elementary building blocks of matter. Are you ready for the adventure?


Biological systems, from proteins to living cells and organisms, obey physical principles. Our research groups in biophysics shape one of Germany's largest scientific clusters in this area.