Eigenmath is available on the Mac App Store

▹Demo 1 (Read about how Planck calculated

▹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