Lecture

Dispersion and Schrödinger Equation Solution

In course

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Description

This lecture covers the solution of the 1D homogeneous Schrödinger equation using Fourier transforms and convolution techniques. It explores the properties of Fourier transforms, the dispersion relation, and the general solution for a wave in a one-dimensional system. The instructor demonstrates the power of convolution and Fourier transforms in obtaining d'Alembert's solution, applicable to problems like the Schrödinger equation, heat equation, and Laplace equation.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_pwxtuunn

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Ontological neighbourhood

Information engineering

Signal processing: Fourier analysis

Mathematics

Analysis: Differential anaysis

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