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