Griffiths Problem 7.12 (3rd edition) Solution: Hydrogen Atom Yukawa Potential Variational principle
Автор: Nick Heumann University
Загружено: 2022-04-12
Просмотров: 2642
In this video, I will use the variational principle to find the ground state energy of the hydrogen atom but with the Yukawa Potential instead of the Coulomb potential.
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 Introducing the problem
01:45 Choosing a Wavefunction
03:17 Solving expectation value of Kinetic Term T
15:05 Solving expectation value of Potential Term V
21:10 Minimizing the Energy
29:00 Using the Binomial expansion (first time)
33:00 Using the Binomial Expansion (Again)
36:24 Plugging in the minimizing value of b into the energy
39:40 Simplifying the expression, plugging in E1, using binomial expansion again
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