In this video I will derive Gamow's Theory of Alpha Decay using the WKB Approximation. We will find the transmission coefficient so that we can find a formula to determine the lifetime of any element (According to this theory).
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My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Identifying our goal
01:18 Explaining the shape of the potential
04:50 Determining a formula for the lifetime of the father nucleus
08:33 Looking for the transmission coefficient T
12:10 Solving the integral using substitution
19:40 Solving the first sub-integral (I2)
20:55 Solving the second sub-integral (I3)
26:40 How to find sin and cosine of theta_1
33:50 Explaining why we approximate that r_1 is much smaller than r_2
34:20 Going from arctan() to arccos() (Matching Griffith's result)
36:30 Approximating r_1 much smaller than r_2
40:13 Simplifying the result to leave only variables
47:47 Check out my patreon!
