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In this video I will continue from the previous video to find the complete solution to the Schrodinger equation for the hydrogen atom. We separated the solution into phi, theta, and R functions. One in the azimuth direction (x-y plane), one in the zenith direction (y-z plane), and the last in the radial direction, respectively. We will also continue to find the solutions for each of the cases for the values of the principle quantum number (n), the angular momentum number (l), and the magnetic quantum number (m(l)). We will use the general solution to the differential equation for the function that gives us the solution to the azimuth (x-y plane) direction of the portion to the Schrodinger equation. As we can see, we are going to get different values for the constant, A and then the exact solution, depending on the values of n, l, and m(l). In this case we are solving for the value of A for n=2, l=1, and m(l)=1.
Next video in this series can be seen at:
https://youtu.be/MCeTmRiL624