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
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.