Electromagnetic radiation is energy propagated through space in the form of electric and magnetic waves.Electromagnetic radiation is propagating oscillations of electric and magnetic fields. They carry energy and momentum without the need for a medium. The spectrum extends from long radio waves to gamma rays. Visible light is just a narrow band in this range.
James Clerk Maxwell in 1865 unified electricity and magnetism, predicting electromagnetic waves whose speed matched the speed of light, indicating the electromagnetic nature of light. Heinrich Hertz in 1887 first experimentally produced radio waves. Wilhelm Röntgen discovered X-rays in 1895. Max Planck (1900) and Albert Einstein (1905) laid the quantum theory, explaining the photoelectric effect. Frederick Herschel discovered infrared radiation as early as 1800.
According to Maxwell's equations, a changing magnetic field generates a vortex electric field, and vice versa, creating a self-sustaining wave. The energy of the wave is proportional to the square of the amplitude and frequency (Planck's formula for photons). The Doppler effect gives a red or blue shift when the source moves. Interaction with matter: absorption, reflection, refraction. Spectroscopy uses the decomposition of radiation to analyze the composition of substances.
Radio, television, microwaves, X-rays in medicine, visible light, infrared heat — all are electromagnetic waves differing only in wavelength.
A microwave oven uses radiation with a wavelength of about 12 cm, causing water molecules to rotate and heat food, but a dry plate hardly heats up.
| E_ν | variable | Energy of electron in Landau level ν — energy joule |
| p_z | variable | Electron momentum along magnetic field — momentum kilogram metre per second |
| ν | variable | Landau quantum number (0,1,2,...) — landau level number |
| B | variable | Magnetic field strength — magnetic flux density tesla |
| c | constant | Universal speed limit for massless particles — speed of light = 299792458 metre per second |
| m_e | constant | Mass of an electron at rest — electron mass = 9.1093837015e-31 kilogram |
| ⟨r²⟩ | variable | Total mean square radius — mean square radius metre squared |
| w_i | variable | Weighting factor for component i — weighting factor |
| ⟨r_i²⟩ | variable | Mean square radius of component i — mean square radius component metre squared |
| ∑ | operator | Adds contributions from each component — summation |


















