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Special Functions in Theoretical Physics

Module PH8101

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.

Module version of WS 2011/2

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
WS 2021/2WS 2011/2

Basic Information

PH8101 is a semester module in German or English language at Bachelor’s level which is offered irregular.

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

Total workloadContact hoursCredits (ECTS)
90 h 30 h 3 CP

Responsible coordinator of the module PH8101 in the version of WS 2011/2 was Norbert Kaiser.

Content, Learning Outcome and Preconditions


Complex-valued functions of a complex variable, complex differentiation, complex line integrals and Cauchy theorem, residue theorem, applications of residue calculus, Legendre polynomials and their properties, sperical harmonics and their properties, Bessel functions, spherical Bessel functions, orthogonal polynomials, solving the wave equation in 1,2 and  3,space dimentions.

Learning Outcome

The student knows the restrictive properties of complex differentiable functions,

The student how know to use residue calculus for evaluating definite integrals.

The student knows the proerties of Legendre polynomials, sperical harmionics, Bessel functions and spherical Bessel functions.

The student knows the most important sets of orthogonal polynomials relevant for quantum mechanics.

The student knows the different behavior of solutions of the wave equation depending on the space dimension.



Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

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Module Exam

Description of exams and course work

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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.

Exam to Special Functions in Theoretical Physics
Mon, 2024-02-05 till 23:55 Dummy-Termin. Wenden Sie sich zur individuellen Terminvereinbarung an die/den Prüfer(in). Anmeldung für Prüfungstermin vor 23.03.2024. // Dummy date. Contact examiner for individual appointment. Registration for exam date before 2024-Mar-23. till 2024-01-15 (cancelation of registration till 2024-02-04)
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