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I am trying to plot the solutions of a particular Hamiltonian eigensystem over a helicoid. In other words, my solutions are a function of the radial variables (r,$\phi$). The Helicoid is given by the parametrization: (r cos(a$\phi$), r sin(a$\phi$), $\phi$).

How do I display the solutions over the Helicoid as a heatmap or something? The problem with Plot3D is that it treats the variables as (x,y) coordinates. Does RegionFunction help in this case?

The solutions are of the form {funs,vals} where funs is the list of all the eigenfunctions.

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