Eigenmath

Manual
Introduction
Syntax
Symbols
Units of measure
Function definitions
Arithmetic
Complex numbers
Draw
Linear algebra
Component arithmetic
Quantum computing
Derivative
Template functions
Laplacian
Integral
Arc length
Line integral
Surface area
Surface integral
Index
Tricks

Examples
Angular separation (demo)
Annihilation (demo)
Annihilation DESY data (demo)
Balmer's formula (demo)
Barrier potential (demo)
Bell's theorem (demo)
Bhabha scattering (demo)
Bhabha scattering DESY data (demo)
Bhabha scattering SLAC data (demo)
Canonical commutation relation (demo)
Classic integration trick (demo)
Coherent state (demo)
Compton scattering (demo)
Compton scattering CERN data (demo)
Constant force action (demo)
Dirac equation (demo)
Dirac from boost (demo)
Dirac spinors (demo)
Electromagnetic tensor (demo)
Emission equilibrium (demo)
Fermi's golden rule (demo)
Field momentum (demo)
Fine structure 1 (demo)
Fine structure 2 (demo)
Fine structure 3 (demo)
Free particle action (demo)
Free particle propagator 1 (demo)
Free particle propagator 2 (demo)
Galilean transformation (demo)
Green's theorem (demo)
Harmonic oscillator action (demo)
Harmonic oscillator coherent state (demo)
Harmonic oscillator propagator 1 (demo)
Harmonic oscillator propagator 2 (demo)
Helium (demo)
How Einstein derived Planck's law (demo)
How Planck calculated h and k (demo)
Hydrogen alpha line (demo)
Hydrogen eigenfunctions (demo)
Hydrogen energy four ways (demo)
Hydrogen radius (demo)
Klein-Nishina formula (demo)
l'Hopital's rule (demo)
Laguerre polynomials (demo)
Laplace transform example (demo)
Laplacian of product (demo)
Legendre polynomials (demo)
Maxwell-Boltzmann distribution (demo)
Moller scattering (demo)
Mott problem (demo)
Muon decay (demo)
Muon pair production (demo)
Orbital angular momentum 1 (demo)
Orbital angular momentum 2 (demo)
Penguin anomaly (demo)
Perturbation example (demo)
Probability current (demo)
Quantum harmonic oscillator (demo)
Rutherford scattering 1 (demo)
Rutherford scattering 2 (demo)
Rutherford scattering 3 (demo)
Rutherford scattering data (demo)
Schrodinger from Lagrangian 1 (demo)
Schrodinger from Lagrangian 2 (demo)
Schrodinger from propagator (demo)
Schwarzschild metric (demo)
Small rotation (demo)
Snell's law (demo)
Spherical harmonics (demo)
Spin (demo)
Spin flip (demo)
Spin measurement (demo)
Spin operator table (demo)
Spin operators from scratch (demo)
Spontaneous emission rate (demo)
Static spherical metric (demo)
Stefan-Boltzmann law (demo)
Stokes's theorem (demo)
Time translation (demo)
Translation (demo)
Tunneling probability (demo)
Two spins (demo)
What is ? (demo)
White dwarf (demo)
Wien's displacement law (demo)
WKB approximation (demo)
Yukawa potential (demo)
Zeeman effect (demo)

Misc. scripts
physical-constants
quaternions
octonions
sedenions
musical-note
laplace-runge-lenz
rydberg-unit-of-energy
dirac-hydrogen-atom
bohr-radius
gordon-decomposition
w-pair-production
hydrogen-atom-radial-pdf
draw
plancks-law
derivative-of-spherical-harmonic
dirac-delta-function-approximations
rojansky
scattering-pdfs
portfolio
wave-packet
grover
ts
sum-of-three-cubes
brachistochrone-problem
masse-walker
fine-structure-constant
inverse-laplace-1
inverse-laplace-2

Additional resources
lindnerdrwg.github.io