Richard Behiel Courses

The Strong Nuclear Force as a Gauge Theory - Part 2: Group Theory

Dive into group theory fundamentals for quantum chromodynamics, exploring SU(3), U(N) groups, Lie algebras, and structure constants essential for understanding the strong nuclear force.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

The Strong Nuclear Force as a Gauge Theory - Part 1: Quarks

Explore how the strong nuclear force emerges from local SU(3) symmetry, starting with quarks, baryons, mesons, and developing the quark color triplet field concept.

• YouTube
• 1 hour
• Self-Paced
• Free Video

The Strong Nuclear Force as a Gauge Theory - Part 3: The Gluon Fields

Dive into gauge field derivation for local SU(3) symmetry, exploring how gluon fields emerge from the Lie algebra and interact within quantum chromodynamics theory.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

The EPR Paradox - Einstein's Critique of Quantum Physics

Explore Einstein's legendary 1935 EPR paper in full technical detail, uncovering quantum paradoxes, wavefunction collapse, and the foundations of local causality in physics.

• YouTube
• 2 hours 2 minutes
• Self-Paced
• Free Video

Measuring the Moon with a Tungsten Cube

Discover how to measure the moon's distance and diameter using only a tungsten cube, gravity measurements, and fundamental physics principles in this creative quest.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video

The Strong Nuclear Force as a Gauge Theory - The Field Strength Tensor - Part 4

Dive into the meticulous derivation of QCD's field strength tensor, exploring its non-Abelian structure and connection to electromagnetic field tensors in quantum chromodynamics.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Superconductivity and the Higgs Field - From Quantum Mechanics to Particle Physics

Dive into the fascinating connection between superconductivity and the Higgs field, exploring quantum physics concepts from basic superconductor principles to the complex Anderson-Higgs mechanism and electroweak model.

• YouTube
• 4 hours 51 minutes
• Self-Paced
• Free Video

A Puzzle from the Finals of the Heidelberg Integration Bee 2025

Unlock a challenging integration puzzle from the 2025 Heidelberg Integration Bee finals and discover the solution to this deceptively tough mathematical problem.

• YouTube
• 14 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video