Scattering Amplitude


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scattering amplitude

[′skad·ə·riŋ ‚am·plə‚tüd]
(quantum mechanics)
A quantity, depending in general on the energy and scattering angle, which specifies the wave function of particles scattered in a collision, and whose squared modulus is proportional to the number of particles scattered in a given direction.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Amplitude, Scattering

 

in the quantum theory of collisions, a quantity which numerically describes the collisions of microparticles. A beam of particles (with a determined impulse) which is falling on a target scatters, and the particles can deflect in any direction. The relative number of particles scattering at different angles to the primary direction of the beam depends on the particular law governing the interaction of the scattered particles with the target particles. The probability of a particle’s scattering at a given angle is determined by the scattering amplitude—or by the modulus square of the scattering amplitude, to be exact.

V. P. PAVLOV

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
With the steady-state fields calculated as described in Section 3.4 from the nodes in region 2 of the TFSF technique, a near-to-far-field transformation can be employed to numerically obtain the scattering amplitude A([phi]) of the structure of interest.
An important note is that, in the Born approximation, the interaction potential may be calculated using the Fourier transform of the scattering amplitude; that is,
Lesselier, "Two numerical methods for recovering small inclusions from the scattering amplitude at a fixed frequency," SIAM Journal on Scientific Computing, vol.
The editors have organized the contributions that make up the main body of the text in nine chapters devoted to albegras in reconstruction of manifolds, a review on large k minimal spectral k-partitions and PleijelEs Theorem, increasing stability for near field from the scattering amplitude, and a wide variety of other related subjects.
We denote by [f.sub.[+ or -]]([omega] [right arrow] [theta]; E) the scattering amplitude by 2[pi][[alpha].sub.[+ or -]][delta](x) and set
The scattering amplitude of a red blood cell and the differential cross section per unit volume of blood are given by [1,14].
After introducing the taper T([??]) into the integral term of the SSA-II method, the scattering amplitude can be revised as
Due to the separability of the electric susceptibility of materials and the etching depth h << r, we can assume a spatial dependence of scattering potential of the scattering medium and calculate the scattering amplitude laterally and in-depth, respectively,
Finally, we propose a simple method based on the dependent scattering amplitude to assist paint formulators facing the task of improving the hiding power of a white paint either by increasing the quantity of pigments or by improving their spatial state of dispersion.
where d is the scattering amplitude; and the Fourier component of the density operator presents as
Key words: asymmetries; density matrix; evolution operators; Ramsey's method; scattering amplitude; T-violation.
where [R.sub.v](q|k) is the scattering amplitude that is obtained when the incident field is given by exp[ik[x.sub.1] - i[[alpha].sub.1] (k, [omega])[x.sub.3] - i[omega]t] or