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University of Oldenburg
04.08.2020 14:27:10
5.04.4651 Lecture: Fouriertechniken in der Physik - Details
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General information

Subtitle
Course number 5.04.4651
Semester Wintersemester 2019/2020
Current number of participants 30
expected number of participants 30
Home institute Institute of Physics
Courses type Lecture in category Teaching
First date Tue , 15.10.2019 10:00 - 12:00, Room: W03 2-240
Type/Form V
Pre-requisites Basic lectures in theoretical physics
Learning organization lecture
Performance record 1 exam or 1 presentation or 1 oral examination or 1 chore
Lehrsprache deutsch
Info-Link http://www.uni-oldenburg.de/fileadmin/user_upload/physik/PDF/Modulhandbuecher/Modulhandbuch_Fach-Master_Physik_2015_WS.pdf#page=65
Miscellanea 6 CP with Ultrashort Laser Pulses (SS, 5.04.4662, 3 CP)
ECTS points 3

Course location / Course dates

W03 2-240 Tuesday: 10:00 - 12:00, weekly (from 15/10/19) (14x)
Thursday. 05.03.20 10:00 - 13:00

Comment/Description

The students know the definition of the Fourier-Transformation (FT) and learn about explicit examples. They know the properties and theorems of the FT, are able to apply these and describe physical processes both in time and frequency domain. They gain deep insights about physical processes analyzing the frequency domain and are able to utilize Fourier techniques solving physical problems, e.g. finding solutions of the time dependent Schrödinger equation. In addition, they learn about examples of the current english physical literature.

Content:
Motivation: Applications of the FT in physics. Examples for Fourier paires, properties of the FT: symmetries, important theorems, shifting, differentiation, convolution theorem, uncertainty relation. Examples concerning the convolution theorem: frequency comb, Hilbert transformation, autocorrelation function. Methods of the time/frequency analysis and Wigner distribution. FT in higher dimensions: tomography. Discrete FT, sampling theorem. Applications in quantum mechanics

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