scholarly journals Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions

2011 ◽  
Vol 52 (8) ◽  
pp. 083506 ◽  
Author(s):  
M. Boiti ◽  
F. Pempinelli ◽  
A. K. Pogrebkov
Keyword(s):  
Heat Operator ◽  
Jost Solutions

Jacobi forms and the heat operator

1997 ◽  
Vol 225 (1) ◽  
pp. 95-101 ◽  
Author(s):  
YoungJu Choie
Keyword(s):  
Jacobi Forms ◽  
Heat Operator

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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