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The wavefunction for a wave traveling in direction r can be written as

[tex]\psi ( \vec{r}, t ) = A \cos ( \vec{k} \cdot \vec{r} - \omega t + \phi ) [/tex], where [tex]\vec{k}[/tex] is the wave vector.

In one dimension, [tex]k = 2*\pi/\lambda[/tex], so is it correct to write the vector components of [tex]\vec{k}= [k_1, k_2, k_3] = [2\pi/\lambda_1, 2\pi/\lambda_2, 2\pi/\lambda_3][/tex]?

Thanks for any hints.

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# What does the wavevector \vec{k} mean?

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