Eigenmath Manual
Quick Reference
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Snell's law
▹ Demo (Demo scripts can be pasted into the Eigenmath app)

Balmer's formula
▹ Demo

How Planck calculated h and k
▹ Demo

How Einstein derived Planck's law
▹ Demo

Muon decay
▹ Compute muon lifetime
▹ Verify density formula (Run time is about 1 minute on Safari, click through alerts on other browsers)
▹ Verify Casimir trick

Electron scattering
▹ Verify Casimir trick
▹ Verify formulas
▹ Draw probability density

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)

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)

Hydrogen atom
▹ Bohr radius and Rydberg unit of energy
▹ Radial eigenfunctions
▹ Normalization
▹ Draw radial probability densities
▹ Complete solution

Spontaneous emission coefficients for H-α
▹ Compute coefficients
▹ Transition probabilities

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

Schwarzschild metric
▹ Demo

Static spherical metric
▹ Demo

Spin operator table
▹ Demo

Click here for solutions to Quantum Mechanics The Theoretical Minimum.
Click here for solutions to Quantum Mechanics and Path Integrals.

Eigenmath.zip (Eigenmath version 3.04 for macOS, notarized by Apple)