Explain the transformation of Schrodinger equation from Cartesian to spherical polar coordinates and give its solution.

The transformation of the Schrödinger equation from Cartesian to spherical polar coordinates is a crucial step in solving quantum mechanical problems for systems with spherical symmetry, such as atoms. The Schrödinger equation in Cartesian coordinates is given as:

\[
-\frac{\hbar^2}{2m} \nabla^2 \psi + V(r) \psi = E \psi
\]

Here, \( \nabla^2 \) is the Laplacian operator, \( \psi \) __________ _________ _______ _________ _____ _____ ___ _______.
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