Eigenmath is available on the Mac App Store

Demo 1   (Read about how Planck calculated h and k)
Demo 2   (Read about how Einstein derived Planck's law)
Demo 3   Draw some graphs
Demo 4   Blank form

Documentation
Eigenmath Manual
Quick Reference
Additional Resources

Rutherford scattering
Verify formulas
Draw probability density

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)

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
Verify Casimir trick
Verify momentum formulas
Draw probability density

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

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
Wavefunction operator
Position operator
Exchange energy
Energy matrix
Superposition of eigenstates

Quantum computing
Bell state
Deutsch-Jozsa algorithm

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