Free-Particle Solutions of the Dirac Equation (ALL STEPS EXPLAINED)

In this video I will find the solutions of the dirac equations, following Peskin and Schroeder's book. I will explain EVERY SINGLE STEP, and I will derive equations 3.49, 3.50, 3.59, 3.62, among others!

If you enjoy my content, please consider checking out my Patreon!

Also, consider subscribing and following me on my socials!

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 ▬▬▬▬▬▬▬▬▬▬
00:00:00 Start
00:00:20 Finding Solutions for positive frequencies
00:02:40 Finding Rest Frame solutions
00:06:39 Applying boost in the 3 direction to energy-momentum
00:16:52 Applying boost in the 3 direction to u(p)
00:49:20 Defining the helicity operator
00:51:20 Summarizing results for u(p)
00:57:00 Finding solutions for negative frequencies
01:03:27 Important identities to know
01:06:05 Please consider supporting me on patreon!

[tomgraupner]

This is definitely the best video about this topic, I have ever found in the net - and I checked out quite e lot. Thank you so much, Nick.

[tomgraupner]

You've derived that solutions of the Dirac Eqn are also solutions to the K-G-Eqn.
The logic to use plain waves as known K-G solution as solutions to the Dirac Eqn seems not to be logical.

[steverogers]

When will quantize the Dirac Field Theory begin?