Black body
is a thermal radiator/emitter that absorbs perfectly across all wavelengths
Stefan-Boltzman law
R(T) = σT^4
Wien displacement law
λ peak = b/T
Rayleigh Jeans Model
u(v,T) = 8πv^2/c^3 kT
the ultraviolet catastrophe
Raleigh jeans model does not scale frequency as expected it tends to infinite energy
The Planck model
u(v,T) = 8πh/c^3 v^3/(e^(hv/kT) -1)
Planck formula
E = hf
CMBR
near perfect 2.7K spectrum. the most perfect black body ever measured in nature
Classical equipartition comes from
computing the expectation value of a Boltzmann distribution