can I use mpb to calculate derivative of fields?

 

Let's say that a field is given by an eigenvector A. is there an algorithm that uses the eigenvector and the reciprocal lattice vectors and can calculate a derivative of that field according to x or y - i.e. give back an eigenvector B that represents the derivative? (won't be a true eigenvector of the original problem of course, but that is not the point)

 

If it matters, I'm dealing with a 2D problem

 

thanks


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