Computational Physics 2 (Simulation of Classical and Quantum Mechanical Systems)

Module PH2090

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

PH2090 is a semester module in English language at Master’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

  • General catalogue of special courses
  • Specific catalogue of special courses for Applied and Engineering Physics
  • Specific catalogue of special courses for condensed matter physics
  • Specific catalogue of special courses for nuclear, particle, and astrophysics

If not stated otherwise for export to a non-physics program the student workload is given in the following table.

Total workloadContact hoursCredits (ECTS)
150 h 75 h 5 CP

Responsible coordinator of the module PH2090 is Stefan Recksiegel.

Content, Learning Outcome and Preconditions


This is the second part of the Computational Physics course of which PH2057 is the first part.

Multiple subjects from Computational Physics are discussed:

10. Random Numbers
11. Fourier Transform
12. Nonlinear Systems and Chaos
13. Fractals
14. Time evolution of Quantum Wave Packets
15. Integral Equations
16. Finite Elements
17. Wavelets
18. Quantum Paths via Functional Integration
19. Introduction to Lattice Gauge Theory

Learning Outcome

At the end of the module CPII students are able to construct and solve numerical descriptions of classical and quantum mechanical problems. The techniques that they apply include ordinary and partial differential equations, Monte Carlo methods and chaos theory. The students have an insight into some advanced numerical methods used in current research.


No preconditions in addition to the requirements for the Master’s program in Physics, but knowledge of the subjects covered in PH2057 is strongly recommended.

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VU 4 Computational Physics 2: Simulation of Classical and Quantum Mechanical Systems Recksiegel, S. Dienstag, 14:00–16:00
sowie einzelne oder verschobene Termine
sowie Termine in Gruppen

Learning and Teaching Methods

lecture, video projector presentation, board work, exercises in individual and group work


practise sheets, accompanying web page:


Much of the material in this course is covered in
“Computational Physics: Problem Solving with Computers” by Landau, P´aez and Bordeianu, Wiley-Vch, ISBN 3527406263.
For the last chapter, we follow Lepage’'s “Lattice QCD for novices”,

Module Exam

Description of exams and course work

In an oral exam the learning outcome is tested using comprehension questions and sample problems.

In accordance with §12 (8) APSO the exam can be done as a written test. In this case the time duration is 60 minutes.

Exam Repetition

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

Current exam dates

Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.

Prüfung zu Rechnergestützte Physik 2
Fr, 14.10.2016, 9:00 bis 10:30 Physik I: 2502
bis 19.9.2016 (Abmeldung bis 7.10.2016)

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.