First order corrections to energy and wavefunctions - Perturbation Theory (Time indep. non degen)

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In this video I will derive the first order corrections to the energy levels and the wavefunctions in time independent, non degenerate perturbation theory. This is content that is usually covered in a second course in QM

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 Introduction to Quantum Mechanics II
00:24 What is perturbation theory?
03:05 Why do we care about PT in QM?
05:16 Setting up the perturbative equations
14:40 Finding the first order corrections to the energy levels
21:20 Finding the first order corrections to the wavefunctions
  1. Nick Heumann University
  2. quantum mechanics lectures
  3. quantum mechanics perturbation theory
  4. perturbation theory
  5. time independent perturbation theory
  6. non degenerate perturbation theory
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Also, join our community discords server, where you can ask questions and find other students to study with!

NickHeumannUniversity
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You're a perfect physicist, mathematian and teacher....have been watching huddles of videos day and night until I spotted this.. it's enlightened me totally, , , thanks sir.. continue with the same Spirit..you explain well more than the books I've read

erasnguma
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This has been very helpful. You are perfect. ✅ 💯. Respect from KENYA

charlesrotich
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Thank you, before it was so difficult to me.

TEMESGENMEKORO
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But why do we take a linear combination for 1st order correction? How does that come up mathematically? Doesn't that tell me that the 1st order correction is also a state of the unperturbed Hamiltonian, then how does that help?

Amit-gi
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Good explanation. In the case of a quantum harmonic oscillator if you have a perturbation term equal to x^4 you get a function of n for the first order energy correction. Namely the higher the n the higher the first order correction. How can we explain that? Does it make sense from a physical point of view?

Artizz
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27.15, Instead of multiplying with psi l 0 in the bra side why can't you directly multiply with psi m zero?

drvksau
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I’m really grateful for you🙏 Thank you, may I ask where’s the video where you solve the second order correction for non-degenerate perturbation theory?

monai
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Thanks you! Incredible well explained.

christiandominguez