Question: Operate with a. /x + /y + /z b. 2 /x 2 + 2 /y 2 + 2 /3 2 on the

Operate with

a. ∂/∂x + ∂/∂y + ∂/∂z

b. ∂2/∂x2 + ∂2/∂y2 + ∂2/∂32

on the function Ae−ik1xe−ik2ye−ik3z. Is the function an eigenfunction of either operator? If so, what is the eigenvalue?

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