Eigenmath manual
Quick reference
Additional resources

Examples (Demo scripts can be pasted into the Eigenmath app)

Maxwell-Boltzmann distribution
▹ Demo

How Einstein derived Planck's law
▹ Demo

Spontaneous emission rate
▹ Demo

Balmer's formula
▹ Demo

Coherent state
▹ Demo

Klein-Gordon equation
▹ Demo

How Planck calculated h and k
▹ Demo

Electrons in a box
▹ Demo

Spin
▹ Demo

Spin operator table
▹ Demo

Dirac equation
▹ Demo

Dirac spinors
▹ Demo

Helium
▹ Demo

Schwarzschild metric
▹ Demo

Static spherical metric
▹ 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

More examples

▹ Quaternions
▹ Octonions
▹ Sedenions
▹ Musical notes
▹ Verify quantum LRL operators
▹ Rydberg unit of energy
▹ Stokes' theorem
▹ Green's theorem
▹ Spherical harmonics
▹ Legendre polynomials
▹ Laguerre polynomials
▹ Dirac equation (32)

Solutions to Quantum Mechanics The Theoretical Minimum
Solutions to Quantum Mechanics and Path Integrals
Solutions to Quantum Mechanics for Scientists and Engineers
Solutions to Quantum Field Theory for the Gifted Amateur