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Degenerate perturbation theory EXAMPLE: determining energy levels of infinite cubical well
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In this video I will determine the first order corrections to the energy levels of the infinite cubical well utilizing perturbation theory.
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.
Follow me on my socials!
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Introduction the problem
03:45 Correction to the ground state
11:20 Correction to the first excited state (Degenerate perturbation theory!)
12:10 Writing down the matrix elements
13:14 Calculating Waa, Wbb and Wcc
17:38 Calculating Wab and Wba
28:07 Calculating Wac and Wca
29:44 Wbc and Wcb
33:05 Determining the Eigenvalues (Energy corrections!)
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.
Follow me on my socials!
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Introduction the problem
03:45 Correction to the ground state
11:20 Correction to the first excited state (Degenerate perturbation theory!)
12:10 Writing down the matrix elements
13:14 Calculating Waa, Wbb and Wcc
17:38 Calculating Wab and Wba
28:07 Calculating Wac and Wca
29:44 Wbc and Wcb
33:05 Determining the Eigenvalues (Energy corrections!)
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