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

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

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