In the problem of the scattering of a particle in the presence of a finite range central potential, the integral equation for the lth partial wave is studied. By using a matrix method, the exact external solutions are expressed in terms of the Fredholm determinant ?, and the phase of ? turns out to be equal to the phase shift. As an example, an array of delta-shell potentials is considered.
On the solution of the integral equation of scattering for finite range potentials
Ilaria Cacciari;Marco Lantieri;Paolo Moretti
2010
Abstract
In the problem of the scattering of a particle in the presence of a finite range central potential, the integral equation for the lth partial wave is studied. By using a matrix method, the exact external solutions are expressed in terms of the Fredholm determinant ?, and the phase of ? turns out to be equal to the phase shift. As an example, an array of delta-shell potentials is considered.File in questo prodotto:
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Descrizione: On the solution of the integral equation of scattering for finite range potentials
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