Foundations & the classical crisis

photon

A photon is a single quantum of light — the smallest indivisible unit of electromagnetic energy. When you dim a beam further and further, you do not get an ever-fainter continuous glow; you eventually get a thin patter of individual photons arriving one at a time, like single raindrops. Each one carries a definite energy, E = hf, set by the light's frequency, along with momentum and a property called polarization.

A photon has no rest mass, and it always travels at the speed of light — it can never be slowed or brought to rest. Because of this it is a thoroughly relativistic object, and its energy and momentum are linked by E = pc. Despite carrying momentum, it pushes on matter only gently; the faint pressure of sunlight on a solar sail is a stream of photons handing over their momentum.

The photon is the cleanest illustration of wave–particle duality. The same light that diffracts and interferes like a wave also arrives, is absorbed, and is counted as discrete particles. A photon is not a tiny billiard ball, and it is not a little classical wave packet either; it is a genuinely quantum entity whose wave aspect governs where it is likely to go and whose particle aspect governs how it is detected, all at once.

E = hf, p = E/c = h/λ, rest mass = 0

Massless, always moving at c, carrying energy set by frequency and momentum by wavelength.

It is tempting but wrong to picture a photon as a tiny localized ball flying along. Until it is detected it has no definite path; its wave nature decides only the probability of where it will land.

Also called
light quantumquantum of light光量子