Marchenko equation
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In mathematical physics, the Marchenko equation is a solution of the inverse scattering problem, when we vary only the energy of the input particle and the impact parameter b is constant.
The main equation is:
where
- g(r,r')
is a symmetric kernel, so that
- g(r,r') = g = (r',r).
The equation is derived from the Gel'fand-Levitan integral equation, using the Povzner-Levitan representation.