Asymptotic jost functions and s matrix for large complex angular momentum for a nuclear-coulomb potential

1970 ◽  
Vol 13 (2) ◽  
pp. 156-162
Author(s):  
I. V. Poplavskii
Keyword(s):  
Angular Momentum ◽  
Coulomb Potential ◽  
Complex Angular Momentum ◽  
Large Complex ◽  
S Matrix ◽  
Jost Functions

scholarly journals Three-Body Scattering Amplitude. II. Extension to Complex Angular Momentum

1964 ◽  
Vol 136 (4B) ◽  
pp. B1137-B1153 ◽  
Author(s):  
Roland L. Omnes ◽  
Victor A. Alessandrini
Keyword(s):  
Angular Momentum ◽  
Scattering Amplitude ◽  
Complex Angular Momentum ◽  
Three Body

One-Dimensional Jost Solutions: The S-Matrix Revisited

2017 ◽  
Author(s):  
John A. Adam
Keyword(s):  
Boundary Conditions ◽  
Transmission Coefficient ◽  
Radial Equation ◽  
Scattering Problems ◽  
One Dimensional ◽  
S Matrix ◽  
Jost Functions ◽  
Jost Solutions ◽  
Square Well ◽  
Matrix Problems

This chapter examines the properties of one-dimensional Jost solutions for S-matrix problems. It first considers how the left–right transmission and reflections coefficients can be expressed in terms of the elements of the S-matrix for one-dimensional scattering problems on, focusing on poles of the transmission coefficient. It then uses the radial equation to revisit the problem of the square-well potential from the perspective of the Jost solution, with Jost boundary conditions at r = 0 and as r approaches infinity. It also presents the notations for the Jost functions and the S-matrix before discussing the problem of scattering from a constant spherical inhomogeneity.

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