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Qmechanic ♦
Qmechanic ♦
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Mathieu Krisztian
Mathieu Krisztian
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What is the graphical representation of a wave plane of the form $e^{i(\vec{k}.\vec{r}-\omega t)}$ or $e^{i(k.x-\omega t)}$?

Let's consider a plane wave of the form $e^{i(\vec{k}.\vec{r}-\omega t)}$

Is the graphical representation the following

reference : https://fr.wikipedia.org/wiki/Onde_plane

or the following ?

enter image description here

I'm wondering what is now the graphical representation for the case of a plane wave of the form $e^{i(k.x-\omega t)}$ ?

Is it just that ?

enter image description here

or is it that :

enter image description here