The plane wave function sometimes could be represented as:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

U(\mathbf{r} ,t ) = A_{0} e^{i(\mathbf{k} \cdot \mathbf{r} - \omega t + \phi)}

[/tex]

and we could separate the expression above into:

[tex]

U(\mathbf{r} ,t = \cos(\mathbf{k} \cdot \mathbf{r} - \omega t + \phi) + i \sin(\mathbf{k} \cdot \mathbf{r} - \omega t + \phi)

[/tex]

Then what is the practical meaning of the imaginary part, ##i \sin(\mathbf{k} \cdot \mathbf{r} - \omega t + \phi)##?

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# What is the meaning of the imaginary part of the plane wave function

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