Richard Behiel Courses

Electromagnetism and Gauge Theory - From Local Phase Symmetry to Maxwell's Equations

Delve into the mathematical foundations of electromagnetism through gauge theory, exploring how local phase symmetry gives rise to electromagnetic forces and Maxwell's equations.

• YouTube
• 3 hours 12 minutes
• On-Demand
• Free Video

The Mystery of Spinors - Understanding Mathematical Objects in Physical Reality

Delve into the mathematical concept of spinors, exploring their role in quantum physics through SO(3) and SU(2) algebra, homotopy classes, and their connection to the fundamental nature of matter.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Relativistic Quantum Waves and the Klein-Gordon Equation

Delve into the unification of special relativity and quantum mechanics through the Klein-Gordon equation, exploring its properties, limitations, and connections to fundamental physics concepts.

• YouTube
• 46 minutes
• On-Demand
• Free Video

The Hydrogen Atom - Solving the Schrödinger Equation - Part 2

Dive into quantum mechanics with a detailed mathematical exploration of the Schrodinger equation's solutions for hydrogen atoms, covering spherical harmonics, radial functions, and energy states.

• YouTube
• 46 minutes
• On-Demand
• Free Video

The Nature of Gravity: Projectile Motion in Constant Gravity - Part 2

Explore the mathematics and physics of projectile motion, analyzing how objects move through constant gravity fields and solving practical problems like range and flight time calculations.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Deriving the Dirac Equation in Quantum Mechanics and Special Relativity

Delve into quantum mechanics with a step-by-step derivation of the Dirac equation, exploring principles, mass shell concepts, matrices, and spinors in relativistic quantum theory.

• YouTube
• 17 minutes
• On-Demand
• Free Video

The Mass Shell - Relativistic Energy-Momentum-Mass Relation in Special Relativity

Explore the Mass Shell concept in special relativity, understanding four-momentum, dimensional analysis, and its application to the Klein-Gordon free particle equation.

• YouTube
• 11 minutes
• On-Demand
• Free Video

Why Relativity Breaks the Schrödinger Equation - A Quantum Physics Analysis

Explore the fundamental incompatibility between the Schrödinger equation and special relativity through plane waves, energy-velocity relationships, and quantum physics principles.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Complex Numbers in Quantum Mechanics - From Basic Concepts to Wave Functions

Explore complex numbers in quantum mechanics through an intuitive approach, focusing on wave interference, phase concepts, and practical applications in quantum systems and electromagnetism.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Introduction to Fiber Bundles and the Hopf Fibration

Explore the fascinating world of fiber bundles and Hopf fibration, discovering their mathematical beauty and applications in quantum mechanics and theoretical physics.

• YouTube
• 13 minutes
• On-Demand
• Free Video

The Nature of Gravity - Earth's Potential and Acceleration Fields - Part 1

Explore Earth's gravitational mysteries through potential and acceleration fields, calculating escape velocities and understanding fundamental orbital mechanics in space.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Understanding Buoyancy Through Vector Calculus - A Mathematical Meditation

Explore the physics of buoyancy through vector calculus, examining molecular collisions and fluid dynamics while building fundamental mathematical understanding of dot products, divergence theorem, and normal vectors.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Dirac Equation: Solutions for Free Particles at Rest in Quantum Mechanics

Explore the Dirac equation's solution for particles at rest, covering bispinors, eigenspinors, and quantum state superposition in an accessible physics breakdown.

• YouTube
• 13 minutes
• On-Demand
• Free Video

The Hydrogen Atom: Introduction to Quantum Physics - Part 1

Dive into quantum physics fundamentals through an exploration of the hydrogen atom, covering electron behavior, Schrödinger's equation, and essential mathematical concepts in spherical coordinates.

• YouTube
• 19 minutes
• On-Demand
• Free Video