Eigenmath Manual
Quick Reference
Additional Resources
Demo

How Planck calculated h and k
Verify

How Einstein derived Planck's law
Verify

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)

Angular momentum
Commutation relations
Associated Legendre functions
Spherical harmonic eigenfunctions
Linear combinations

Hydrogen atom
Bohr radius and Rydberg unit of energy
Radial eigenfunctions
Normalization
Draw radial probability densities
Complete solution

Electron spin
Expectation values
Commutation relations

Anticommutation
Demo

Wavefunction operator
Demo

Position operator
Demo

Exchange energy
Calculate

Energy matrix
Calculate

Superposition of eigenstates
Calculate

Dirac equation
Verify

Spinors
Verify

Balmer formula
Compute model coefficient

Stefan-Boltzmann law
Calculate

Quantum electric field
Verify

Angular distance
Verify

Static spherical metric
Verify

Helium atom
Verify

Spontaneous emission
Verify

Spontaneous emission coefficients for H-α
Compute coefficients
Transition probabilities

Matrix elements for quantum harmonic oscillator
Compute matrix elements

2d hydrogen
Verify eigenfunctions
Compute matrices

Muon decay
Compute muon lifetime
Verify muon decay formula (1)
Verify Casimir trick

Quantum computing
Grover search algorithm
Bernstein-Vazirani algorithm
Phase estimation
Order finding demo
1 + 1 = 2

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