Schrodinger equation H atom

Introducing the reduced quantities into the Schrodinger equation, we find (Prob. 13.13) that the reduced H-atom Schrodinger equation is — (1/7 ) / = ffriAr... 

This property is consistent with the solution of the angular part of the Schrodinger equation, since using the operator on the function gives back the same function multiplied by a number. The number in this case is always /(/ +1), and this is the reason that the separation constant used to split the complete H atom Schrodinger equation into radial and angular parts takes this value. 

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