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The Schrodinger equation for the hydrogen atom can be written 2u V 2 y - e2 ATEor 1 = Ey (1) where e is the charge of an electron (and proton), y is the reduced mass (close to that of an electron) and the Laplacian operator in spherical polar coordinates is V2 a2 2 0 1 22 cose a 1 22 ar2 rar 12 202 + ; 12 sin 0 30 2 sin2 0 242 If we take a trial wavefunction for the hydrogen Is orbital to be y