Eigenmath Manual
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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

Feynman and Hibbs problem 2-3 (Action for a constant force)
▹ Demo

Feynman and Hibbs problem 3-9 (Kernel for a constant force)
▹ Demo

Feynman and Hibbs problem 3-12 (Evolution of harmonic oscillator wave function)
▹ Demo

Feynman and Hibbs problem 4-1 (Schrodinger equation for scalar potential)
▹ Demo

Feynman and Hibbs problem 4-2 (Schrodinger equation for charged particle)
▹ Demo

Feynman and Hibbs problem 4-12 (Fun integral)
▹ Demo

Feynman and Hibbs problem 6-13 (Method of stationary phase)
▹ Demo

Click here for more solutions to Feynman and Hibbs problems.