Relativistic Quantum Waves (Klein-Gordon Equation)

In this video, we'll unify special relativity and quantum mechanics, to derive the beautiful Klein-Gordon equation! Then we'll explore some of its properties, to see what it can (and can't) tell us about the nature of things. This is part of a video series that's building toward an exploration of the Dirac equation, and then a triumphant return to the hydrogen atom.

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Chapters:

0:00 Intro
1:40 Deriving the KG Equation
7:24 Four-Momentum Eigenstates
12:38 Superposition
14:36 KG vs Schrödinger
16:48 Group Velocity & c Speed Limit
23:16 Fourier Transforms & Antimatter
31:01 The 2nd-Order-in-Time Problem
33:15 Probability Density & Current
39:55 The Mystery of Spin
42:27 Concluding Remarks by Paul Dirac

#physics #math #quantum #relativity