Eigenmath Manual

Function Reference

How Planck Calculated h and k
Demo

How Einstein Derived Planck's Law
plancks-law.txt

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

Rutherford Scattering
rutherford-scattering-1.txt
rutherford-scattering-2.txt
rutherford-scattering-3.txt

Bhabha Scattering
Verify Casimir trick
Verify momentum formulas
Bhabha scattering data from SLAC SPEAR   (R2 = 0.99)
Bhabha scattering data from DESY PETRA   (R2 = 0.99)
Draw angular distribution

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
static-spherical-metric.txt

Schwarzchild Metric
schwarzchild-metric.txt

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
Notes
Bohr radius and Rydberg unit of energy
Radial eigenfunctions
Normalization
Plot radial probability densities
Complete solution

Electron spin
Notes
Expectation values
Commutation relations

Fermion operators
Anticommutation demo   note
Wavefunction operator   note
Position operator   note
Exchange energy   note
Energy matrix   note
Superposition of eigenstates   note

Please send bug reports to yo73137@gmail.com

To run Eigenmath in a terminal window, download eigenmath.c and follow the build instructions.

Click here for information on using eigenmath.js in web pages.

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.