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The Compton wavelength is a physical unit that governs the dispersion relation/energy-momentum relation of massive fields.
For a particle/field of mass $m$, its Compton wavelength is the length
where $c$ denotes the speed of light and $2\pi\hbar$ denotes Planck's constant. Correspondingly $\frac{\hbar}{m c}$ is also called the “reduced Compton wavelength”.
The inverse of the Compton wavelength appears as the mass term notably in the Klein-Gordon equation of the scalar field or the Dirac equation of the Dirac field.
The Compton wavelength corresponding to the mass of the electron is about $\ell_{m_e} ~ 386$ fm.
Another length scale parameterized by a mass $m$ is the Schwarzschild radius $r_m \coloneqq 2 m G/c^2$, where $G$ is the gravitational constant. Solving the equation
for $m$ yields the Planck mass
The corresponding Compton wavelength $\ell_{m_{P}}$ is given by the Planck length $\ell_P$
Last revised on November 9, 2017 at 05:12:46. See the history of this page for a list of all contributions to it.