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In harmonic analysisa dispersion relation is a relation between the frequency and the wavelength of plane waves. Typically this relation expresses the frequency as a function of the wavelength.
In special relativity the frequency of a plane wave is proportional to its energy, and its wave vector is proportional to its momentum, so that now a dispersion relation becomes an energy-momentum relation.
plane waves on Minkowski spacetime
Wikipedia, Dispersion relation
Wikipedia, Energy-momentum relation
Last revised on May 17, 2022 at 12:30:28. See the history of this page for a list of all contributions to it.