Eigenmath manual
Quick reference

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

Spontaneous emission rate
▹ Demo

Maxwell-Boltzmann distribution
▹ Demo

How Einstein derived Planck's law
▹ Demo

Balmer's formula
▹ Demo

Coherent state
▹ Demo

How Planck calculated h and k
▹ Demo

Spin state
▹ Demo

Spin operator table
▹ Demo

Dirac equation
▹ Demo

Dirac spinors
▹ Demo

Helium
▹ Demo

Schwarzschild metric
▹ Demo

Static spherical metric
▹ Demo

Rutherford scattering (e⁻ → e⁻)
▹ Demo

Compton scattering (e⁻ γ → e⁻ γ)
▹ Demo

Moller scattering (e⁻ e⁻ → e⁻ e⁻)
▹ Demo

Bhabha scattering (e⁻ e⁺ → e⁻ e⁺)
▹ Demo

Annihilation (e⁻ e⁺ → γ γ)
▹ Demo

Muon pair production (e⁻ e⁺ → μ⁻ μ⁺)
▹ Demo

Muon decay
▹ Demo

Hydrogen atom
▹ Demo

Spontaneous emission coefficients for H-α
▹ Demo

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)
▹ Bohr radius

▹ Annihilation data from DESY PETRA (R² = 0.98)
▹ Bhabha scattering data from SLAC SPEAR (R² = 0.99)
▹ Bhabha scattering data from DESY PETRA (R² = 0.99)
▹ Muon pair production data from SLAC PEP (R² = 0.87)
▹ Electroweak model (R² = 0.98)

▹ Draw cdf for annihilation
▹ Draw cdf for Bhabha scattering
▹ Draw cdf for Compton scattering
▹ Draw cdf for Moller scattering
▹ Draw cdf for muon pair production
▹ Draw cdf for Rutherford scattering
▹ Draw cdf for Thomson scattering

Additional resources

LindnerDrWG.github.io
evalgebra.org