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06.12.2021 10:33:59
Lecture: 5.04.4651 Fouriertechniken in der Physik - Details
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General information

Course name Lecture: 5.04.4651 Fouriertechniken in der Physik
Subtitle
Course number 5.04.4651
Semester Wintersemester 2021/2022
Current number of participants 18
expected number of participants 30
Home institute Institute of Physics
Courses type Lecture in category Teaching
Next date Tue., 07.12.2021 10:00 - 12:00, Room: (online)
Type/Form V
Pre-requisites Basic lectures in theoretical physics
Learning organisation 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

(online) Tuesday: 10:00 - 12:00, weekly (14x)
W02 1-148 Tuesday. 22.03.22 10:00 - 12:00

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