# Hydrogen atom wave functions

**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?

http://ift.tt/1tZyNfS