In this video, we look at why the Schrodinger equation is incompatible with special relativity, specifically through the lens of Schrodinger plane waves, and the energy vs. velocity curves for relativistic and classical physics.
Stay tuned for the next videos, in which we will derive relativistic wave equations, explore the four-potential and gauge symmetry, and eventually will return to hydrogen with a relativistic treatment of the electron! :)
For further reading, please check out Introduction to Elementary Particles, by David Griffiths. That book provides a ton of insightful context around the ideas in this quantum physics playlist.
Chapters:
0:00 Intro
0:50 Schrödinger Free Particle
2:00 2nd Order in Space, 1st in Time
2:52 Schrödinger Plane Waves
5:03 de Broglie Relations
6:55 Relativistic vs. Classical E(v) Curves
13:00 Ultra-relativistic LEP Electron
14:34 Returning to the Plane Waves
15:44 Concluding Remarks
#physics #quantum #math
