One-Dimensional Jost Solutions: The S-Matrix Revisited
Keyword(s):
S Matrix
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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.
2000 ◽
Vol 14
(10)
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pp. 1059-1065
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Keyword(s):
2020 ◽
Vol 75
(8)
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pp. 713-725
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2012 ◽
Vol 614-615
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pp. 1629-1632
2003 ◽
Vol 2003
(43)
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pp. 2735-2746
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2018 ◽
Vol 145
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pp. 01009
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2013 ◽
Vol 404
(1)
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pp. 11-28