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

Eigenmath Manual
Quick Reference
Additional Resources

Quantum computing
Grover search algorithm
Bernstein-Vazirani algorithm
Phase estimation
Order finding demo
1 + 1 = 2

Rutherford scattering
Verify formulas
Draw probability density

Compton scattering
Verify Casimir trick   (Safari recommended, click through alerts on other browsers)
Verify formulas
Verify lab frame formulas
Draw probability density
Compton scattering data from CERN LEP   (R² = 0.97)

Bhabha scattering
Verify Casimir trick
Verify formulas
Draw probability density
Bhabha scattering data from SLAC SPEAR   (R² = 0.99)
Bhabha scattering data from DESY PETRA   (R² = 0.99)

Moller scattering
Verify Casimir trick
Verify formulas
Draw probability density

Annihilation
Verify Casimir trick
Verify formulas
Draw probability density
Annihilation data from DESY PETRA   (R² = 0.98)

Muon pair production
Verify Casimir trick
Verify formulas
Draw probability density
Muon pair production data from SLAC PEP   (R² = 0.87)
Electroweak model   (R² = 0.98)

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

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