Special Functions in Theoretical Physics
Module PH8101
Module version of WS 2021/2 (current)
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 2021/2 | WS 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 workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 90 h | 30 h | 3 CP |
Responsible coordinator of the module PH8101 is Norbert Kaiser.
Content, Learning Outcome and Preconditions
Content
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.
Preconditions
none
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
| Type | SWS | Title | Lecturer(s) | Dates | Links |
|---|---|---|---|---|---|
| VO | 2 | Special Functions in Theoretical Physics | Kaiser, N. |
Wed, 16:00–18:00, PH HS1 |