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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

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

VO 1 Quantum effects - an invitation for mathematicians (Exercise session) Wolf, M. Tue, 14:00–15:00, MI 03.08.011
VO 2 Quantum effects - an invitation for mathematicians [MA5047] Wolf, M. Mon, 14:15–15:45, MI 03.10.011

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

The exam may be repeated at the end of the semester.

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