Hydrogen atom wave functions

mardi 29 avril 2014

1. The problem statement, all variables and given/known data



I solved the Schrödinger equation, obtaining a wave function in terms of Radial and the spherical harmonics as follows:



$$Ψ(r,0)= AR_{10} Y_{00} + \sqrt{\frac23} R_{21} Y_{10} + \sqrt{\frac23} R_{21} Y_{11} - \sqrt{\frac23} R_{21} Y_{1,-1}$$





2. Relevant equations





3. The attempt at a solution

The constant A is equal to i; is this result right or not?





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