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