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Physics - Ch 66.5 Quantum Mechanics: The Hydrogen Atom (56 of 78) Solution of the Theta Fct: C3 P1

1,787 views · Published 20 October 2018 · 5:09 · Indexed 6 October 2026

Channel: Michel van Biezen · 2018 · Education

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In this video I will, in case #3, I will solve the differential equation for the theta function (zenith direction, y-z plane) when n=1,l=1, and m(l)=1. From previous video we found f(x)=(1-x^2)^1/2 for l=1 and m(l)=0 thus ThetaFunction(theta)=Asin(theta). So we will substitute sin(theta) back to the original differential equation to see if, indeed, the equation will equal to 0.

Next video in this series can be seen at:
https://youtu.be/jwU4PjeZi1c

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