Overview
Explore the fundamental incompatibility between the Schrödinger equation and special relativity in this 17-minute physics lecture, examining the relationship through Schrödinger plane waves and comparing energy versus velocity curves in relativistic and classical physics. Delve into key concepts including the Schrödinger free particle, de Broglie relations, and ultra-relativistic LEP electrons, building a foundation for understanding relativistic wave equations and four-potential gauge symmetry. Learn through a structured progression from basic principles to complex applications, with clear explanations supported by mathematical analysis and real-world examples from particle physics. Gain valuable insights into quantum mechanics and special relativity, complemented by recommended further reading from David Griffiths' Introduction to Elementary Particles.
Syllabus
Intro
Schrödinger Free Particle
2nd Order in Space, 1st in Time
Schrödinger Plane Waves
de Broglie Relations
Relativistic vs. Classical Ev Curves
Ultra-relativistic LEP Electron
Returning to the Plane Waves
Concluding Remarks
Taught by
Richard Behiel