Eigenmath is available on the Mac App Store
▹Demo
Eigenmath Manual
Quick Reference
Additional Resources
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

Bhabha Scattering
▹Verify Casimir trick
▹Verify momentum formulas
▹Draw angular distribution
▹Bhabha scattering data from SLAC SPEAR   (R² = 0.99)
▹Bhabha scattering data from DESY PETRA   (R² = 0.99)

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

Hydrogen atom
▹Bohr radius and Rydberg unit of energy
▹Radial eigenfunctions
▹Normalization
▹Draw radial probability densities
▹Complete solution

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.
R² is coefficient of determination, a statistic that measures the predictive accuracy of a mathematical model.
To run Eigenmath in a terminal window, download eigenmath.c and follow the build instructions. See also github.
Please send bug reports to yo73137@gmail.com