Griffiths QM 6.13 (3d edition) Solution: Relativistic Correction for Quantum Harmonic Oscillator

In this video I will solve Problem 6.13 as it appears in the 3rd edition of Griffiths Introduction to Quantum Mechanics
The problem states:
Find the lowest order relativistic correction to the energy levels of the one-dimensional harmonic oscillator.

Here is Problem 2.37, which I refer to often throughout the video!
https://youtu.be/cE8bsRLdaPc
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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 Introducing the Problem
01:17 Plugging everything into the General Formula
03:20 To find expectation value of X^2, check out problem 2.37 (link in description)
05:00 Finding the expectation value of x^4
08:00 Applying the raising and lowering operators to states n
20:10 Plugging in the result

Видео Griffiths QM 6.13 (3d edition) Solution: Relativistic Correction for Quantum Harmonic Oscillator канала Nick Heumann