Journal ArticleDOI
Integral equations and scattering solutions for a square‐well potential
B. Bagchi,R. G. Seyler +1 more
TLDR
In this article, the Schrodinger equation with an arbitrary central local potential is considered, and Green's functions and integral equations are derived for scattering solutions subject to a variety of boundary conditions.Abstract:
s‐wave scattering solutions of the Schrodinger equation with an arbitrary central local potential are considered. Green’s functions and integral equations are derived for scattering solutions subject to a variety of boundary conditions. Exact solutions are obtained for the case of a finite spherical square‐well potential, and properties of these solutions are discussed.read more
Citations
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Universal relations between Feshbach resonances and molecules
TL;DR: In this paper, a simplified model for resonant scattering of two ultracold atoms is proposed to describe the resonant states, the natural (eigen) frequencies of the two-body system, and their non-trivial properties.
Journal ArticleDOI
Jost functions and singular attractive potentials
TL;DR: In this article, the leading and next-to-leading terms of the phase shifts of attractive and repulsive singular potentials were determined for arbitrary angular momentum l with incoming boundary conditions at small distances.
Journal ArticleDOI
Solution of the distributional equation and Green’s functions for scattering problems
TL;DR: By imposing specified boundary conditions on the general solution to the distribution equation, one can readily obtain the Green’s function for the radial Schrodinger equation.