Examples (demo scripts can be pasted into the Eigenmath app)
Snell's law
(demo)
Wien's displacement law
(demo)
Electromagnetic tensor
(demo)
Maxwell-Boltzmann distribution
(demo)
Helium
(demo)
Mott problem
(demo)
What is dσ?
(demo)
Fermi's golden rule
(demo)
How Planck calculated h and k
(demo)
How Einstein derived Planck's law
(demo)
Coherent state
(demo)
Dirac equation
(demo)
Dirac spinors
(demo)
Stefan-Boltzmann law
(demo)
WKB approximation
(demo)
Tunneling probability
(demo)
Quantum angular momentum
(demo)
Spin
(exercise
1,
2,
3,
4,
5)
Two spins
(exercise
1,
2,
3,
4)
Bell's theorem
(exercise
1,
2,
3)
Quantum harmonic oscillator
(exercise
1,
2,
3,
4)
Harmonic oscillator kernel
(exercise
1)
Harmonic oscillator coherent state
(exercise
1,
2,
3)
Hydrogen
Balmer's formula
(demo)
Hydrogen eigenfunction
(demo)
Hydrogen alpha line
(demo)
Spontaneous emission rate
(demo)
Scattering
Annihilation
(demo)
Bhabha scattering
(demo)
Compton scattering
(demo)
Moller scattering
(demo)
Muon pair production
(demo)
Rutherford scattering
(demo)
Muon decay
(demo)
Einstein tensor
Schwarzschild metric
(demo)
Static spherical metric
(demo)
Misc. scripts
Quaternions
Octonions
Sedenions
Musical notes
Verify quantum LRL operators
Rydberg unit of energy
Stokes's theorem
Green's theorem
Spherical harmonics
Legendre polynomials
Laguerre polynomials
Dirac equation (32)
Bohr radius
Gordon decomposition
W pair production
Annihilation probability density function
Bhabha scattering probability density function
Compton scattering probability density function
Moller scattering probability density function
Muon pair production probability density function
Rutherford scattering probability density function
Thomson scattering probability density function
Annihilation DESY PETRA
Bhabha scattering SLAC SPEAR
Bhabha scattering DESY PETRA
Compton scattering CERN LEP
Muon pair production SLAC PEP
Electroweak model
Grover search algorithm
Bernstein-Vazirani algorithm
Phase estimation
Order finding demo
Full adder
Hydrogen atom radial probability density function
Drawing demo
Planck's law
Derivative of spherical harmonic
Dirac delta function approximations
V. Rojansky page 24
Additional resources
LindnerDrWG.github.io
-- physical constants (c, e, h, and k are exact values)
c = 299792458.0 meter / second -- speed of light in vacuum
e = 1.602176634 10^(-19) coulomb -- elementary charge
epsilon0 = 8.8541878128 10^(-12) farad / meter -- vacuum electric permittivity
h = 6.62607015 10^(-34) joule second -- Planck constant
hbar = h / float(2 pi) -- reduced Planck constant
k = 1.380649 10^(-23) joule / kelvin -- Boltzmann constant
me = 9.1093837015 10^(-31) kilogram -- electron mass
mp = 1.67262192369 10^(-27) kilogram -- proton mass
mu = me mp / (me + mp) -- reduced electron mass
-- derived units
coulomb = ampere second
farad = coulomb / volt
joule = kilogram meter^2 / second^2
volt = joule / coulomb
-- base units (for printing)
ampere = "ampere"
kelvin = "kelvin"
kilogram = "kilogram"
meter = "meter"
second = "second"
electronvolt = e joule / coulomb -- convert electronvolt to joule
Harmonic oscillator propagator example
Schrodinger from free-particle propagator
Free-particle propagator