Eigen functions of the linear operator L

nughret
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Hi,
I am looking for eigen functions of the linear operator L defined by

L=(-2i(\nablaf).\nabla -i\nabla^2f +(\nablaf)^2)

and here f is an abitary function of x,y,z
 
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Sorry first (failed) attempt at latex.
L = -2i(grad(f)).grad -i(grad^2(f)) + (grad(f))^2

grad^2 is the laplacian of f
 
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