# Compton Wavelength

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## Compton wavelength

[′käm·tən ′wāv‚leŋkth]
(quantum mechanics)
A convenient unit of length that is characteristic of an elementary particle, equal to Planck's constant divided by the product of the particle's mass and the speed of light.

## Compton Wavelength

a quantity with the dimension of length that is characteristic of relativistic quantum processes; it is expressed in terms of the particle’s mass m and the universal constants h and c (h is Planck’s constant and c is the speed of light): λo = h/mc. The term “Compton wavelength” arose because the quantity λo determines the change Δλ in the wave-length of electromagnetic radiation during Compton scattering (scattering by free electrons; seeCOMPTON EFFECT). The quantity λ̸ = h̸/mc (where h̸ = h/2π) is more often called the Compton wavelength. For the electron λ̸o = 3.86151 × 10˗14 cm, and for the proton λ̸ = 2.10308 X 10˗14 cm.

The Compton wavelength determines the scale of spatial nonuniformities of the field at which quantum relativistic processes become significant. In fact, if we consider a certain wave field—for example, an electromagnetic wave field—whose wavelength λ is less than the Compton wavelength λ0 of the electron, then the energy of the quanta of this fieldع = hv (where v = c/λ is the frequency) is found to be greater than the rest energy of the electron (ع › hc/λo), and consequently the production of electron-positron pairs in the field becomes possible and occurs. Such processes of particle production are described by relativistic quantum theory.

Since measurement of the coordinates of a particle is possible only with a precision of the order of the wavelength of the “light” that is “illuminating” it, it is clear that the position of a specific particle may be determined only with an accuracy of the order of the Compton wavelength of the particle. The Compton wavelength also determines the distance to which a virtual particle with mass m may move from the point of its production. Therefore, the radius of operation of nuclear forces (whose carriers are mainly virtual pi-mesons, the lightest of the strongly interacting particles) is of the order of the pi-meson’s Compton wavelength (λ0 ~ 1013 cm). Similarly, the polarization of a vacuum caused by the production of virtual electron-positron pairs appears at a distance of the order of the Compton wavelength of the electron.

V. I. GRIGOR’EV

References in periodicals archive ?
These oscillations are confined to a region of the order of Compton wavelength of the particle.
The magnitude of R is of the order of Compton wavelength.
0], becomes equal to the reduced Compton wavelength of it, namely
C] and l, are respectively the Fermi and Compton wavelengths and the mean free path of the particle responsible by the transport property in water.
F], a string of length equal to its Fermi wavelength, composed by unit cells having a length equal to the Compton wavelength of the electron.
The greatest finite elliptic radius is a half of the Compton wavelength of the electron:
13] (m) is electron's reduced Compton wavelength (De Broglie wave).
In the ground state of the Hydrogen atom the electron path around the nucleus equals the ratio of the Compton wavelength of the electron [lambda] and the fine structure constant [alpha].
C] = h/2[pi]mc is the reduced Compton wavelength of the proton with the numerical value 2.
d) Why does the wavelength of the light observed by us not fit to the Compton wavelength of the electrons emitting the light?
These included examining the equivalence of the Compton wavelength and Schwarzschild radius of a particle or drawing on results from Special Relativity and Quantum Mechanics.
C] the Compton wavelengths of the elementary particles involved and elt see below.

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