Give the solution to the following attached document

2) SCHRODINGER EQUATION & THE WAVE FUNCTION i) Clearly DEFINE the wave function of Schrodinger Equation. in a 2-D space (w(x; y)) ii) Specify and write the boundary conditions for the matter confined in the shown 2-D rectangle, where the potential energy Ll = infinity outside the rectangle, and O inside it. Consider tp(x: y) X(x) Y(y) use the 2-0 Schrodinger's equation where v 02 02 ) 2m x2 y2 al iii) Rewrite equation (1) after separating the variables tp(x; y) = X(x) Y(y). iv) Since the matter exists inside the rectangle, specify the limits of the integration, i.e Determine x, , y, , and JJ lgJ(x, y)12dxdy I v) Solve equation (1) and get E in terms of two quantum numbers n, and m.