For my research at my school, I need to plot the Schrodinger equation using my given wave function. I am having issues though as I am receiving an error telling me that I need to submit my argument in standard or parametric form.

restart;

schro := {[4*(x^2-1)*(diff(psi(x, y), x, x))/(x^2-y^2)+2*x*(diff(psi(x, y), x))-(y^2-1)*(diff(psi(x, y), y, y))-2*y*(diff(psi(x, y), y))+(-2/(x+y)-2/(x-y)+1)*psi(x, y)] = energy};

psi := proc (x, y) options operator, arrow; e^((-1)*.5*[2*x+2*y])+e^((-1)*.5*[2*x-2*y]);

plot3d(schro, x= 1..100, y = -1 ..1);

Unfortunately, I am unable to plot my function. I was able to substitute my psi(x,y) function into my schro equation, but I am unable to do much else. I want to plot my function such that my energy is represented in the z-axis as a relationship between x and y which are a specific coordinate system (conical coordintes).