| Eigenmath is available on the Mac App Store |
| ▹ Demo |
| Eigenmath Manual |
| Function Reference |
| How Planck Calculated h and k |
| ▹ Demo |
| How Einstein Derived Planck's Law |
| ▹ Demo |
| Compton Scattering |
| ▹ Verify Casimir trick (Safari recommended, click through alerts on other browsers) |
| ▹ Verify momentum formulas |
| ▹ Verify lab frame formulas |
| ▹ Draw angular distributions |
| ▹ Compton scattering data from CERN LEP (R² = 0.97) |
| Rutherford Scattering |
| rutherford-scattering-1.txt |
| rutherford-scattering-2.txt |
| rutherford-scattering-3.txt |
| Moller Scattering |
| moller-scattering-1.txt |
| moller-scattering-2.txt |
| moller-scattering-3.txt |
| Annihilation |
| annihilation-1.txt |
| annihilation-2.txt |
| annihilation-3.txt (DESY PETRA, R² = 0.98) |
| annihilation-4.txt |
| Muon Production |
| muon-production-1.txt |
| muon-production-2.txt |
| muon-production-3.txt (SLAC PEP, R² = 0.87) |
| muon-production-4.txt (SLAC PEP, R² = 0.98) |
| muon-production-5.txt |
| Static Spherical Metric |
| ▹ Demo |
| Schwarzschild Metric |
| ▹ Demo |
| Dirac Equation |
| dirac-equation.txt |
| Spinors |
| spinors.txt |
| Casimir Trick |
| casimir-trick.txt |
| Muon Decay |
| muon-decay-1.txt |
| muon-decay-2.txt |
| Quantum Harmonic Oscillator |
| quantum-harmonic-oscillator-1.txt |
| Quantum Electric Field |
| quantum-electric-field-1.txt |
| quantum-electric-field-2.txt |
| Angular momentum |
| ▹ Commutation relations |
| ▹ Associated Legendre functions |
| ▹ Spherical harmonic eigenfunctions |
| ▹ Linear combinations |
| Hydrogen atom |
| ▹ Bohr radius and Rydberg unit of energy |
| ▹ Radial eigenfunctions |
| ▹ Normalization |
| ▹ Draw radial probability densities |
| ▹ Complete solution |
| Electron spin |
| ▹ Expectation values |
| ▹ Commutation relations |
| Fermion operators | |
| Anticommutation | ▹ Demo |
| Wavefunction operator | ▹ Demo |
| Position operator | ▹ Demo |
| Exchange energy | ▹ Demo |
| Energy matrix | ▹ Demo |
| Superposition of eigenstates | ▹ Demo |
| Notes |
| LEP was the Large Electron Positron collider at CERN in Geneva, Switzerland. |
| PEP was the Positron Electron Project collider at the Stanford Linear Accelerator Center (SLAC) in Menlo Park, California. |
| PETRA was the Positron Electron Tandem Ring Accelerator at DESY in Hamburg, Germany. |
| SPEAR was the Stanford Positron Electron Asymmetric Ring collider at SLAC. |
| To run Eigenmath in a terminal window, download eigenmath.c and follow the build instructions. |
| Please send bug reports to yo73137@gmail.com |