 Eigenmath manual
Quick reference

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
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
Normalization
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