Everything about Born Approximation totally explained
In
scattering theory and, in particular in
quantum mechanics, the
Born approximation consists of taking the incident field in place of the total field as the driving field at each point in the scatterer.It is the
perturbation method applied to scattering by an extended body. It is accurate if the scattered field is small, compared to the incident field, in the scatterer.
For example, the
radar scattering of
radio waves by a light
styrofoam column can be approximated by assuming that each part of the plastic is polarized by the same
electric field that would be present at that point without the column, and then calculating the scattering as a radiation integral over that polarization distribution.
Born approximation to the Lippmann-Schwinger equation
The
Lippmann-Schwinger equation for the scattering state
Other applications include
bremsstrahlung and the
Photoelectric effect. For charged particle induced direct nuclear reaction, the procedure is used twice. There are similar methods that don't use Born approximations.
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