Infinitesimally weak coupling, infinitely strong singularity of the scattering potential

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dc.creatorDolinszky, T.
dc.date2000-06-30
dc.date.accessioned2026-07-07T04:27:52Z
dc.date.available2026-07-07T04:27:52Z
dc.descriptionIn scattering by singular potentials $g^2U(s;r)$, the coupling constant $g^2$ is continuously decreased to zero while the stage $s$ of singularity raised simultaneously beyond all limits by some functional relation $F(g^2;s)=0$. In the extreme situation of this double limit, even the mere existence of a nontrivial physical scattering problem is questionable. By iterating a pair of integral equations, the relevant solution is developed here in terms of wave functions into a pair of convergent series, each of which reduces in the double limit $\{g^2\to 0;s\to\infty\}$ to a single term calculable by quadrature.
dc.description12 pages, no figures, plain tex
dc.identifierhttps://arxiv.org/abs/math-ph/0006033
dc.identifierhttp://arxiv.org/abs/math-ph/0006033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56578
dc.subjectMathematical Physics
dc.titleInfinitesimally weak coupling, infinitely strong singularity of the scattering potential
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