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. Thanks for checking out this video, and if you are so inclined, please consider joining my Patreon, for full access to the slides from these videos, and additional notes and links to supplemental materials. I'll also be on there to answer any questions you might have about physics, math, and life, and your input will help guide the future direction of this channel. All support is greatly appreciated. / richardbehiel 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
Deriving the Dirac Equation
Superconductivity and the Higgs Field
The Twin Paradox: Time Travel, Explained Visually
I never understood the Schrödinger’s equation...until now!
Dirac's belt trick, Topology, and Spin ½ particles
3 reasons pilot wave theory is the best interpretation of quantum mechanics (and 3 reasons it's not)
Nobody Explained the Schrödinger Equation Like THIS!
General relativity from first principles – Adam Brown
This math trick revolutionized physics
This "USELESS" Equation is The Mathematical Basis of ALL MATTER!
Exploring the Deep Mysteries of Physics | World Science Festival
Not Just Magic: How Length Contraction ACTUALLY Happens
The Dirac Equation: The Most Important Equation You’ve Never Heard Of
Bell's Theorem, a Glitch in Reality
The EPR Paradox, Einstein's Critique of Quantum Physics
There’s No Wave Function? | Jacob Barandes
What Makes The Strong Force Strong?
The Mass Shell (Relativistic Energy-Momentum-Mass Relation)
The biggest misconception about spin 1/2
