2006
DOI: 10.1007/s12043-006-0080-3
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On the integral representations of the Jost function and Coulomb off-shell Jost solution

Abstract: The integral representations of the Jost function (on-and off-shell) are rederived by the judicious use of the transposed operator relation on the particular integrals for Jost solution and using one of these particular integrals an analytical expression for the Coulomb off-shell Jost solution is presented in the maximal reduced form.It is well-known that in charged-particle scattering the long range of Coulomb interaction is a source of special difficulties due to 1/r behaviour of the potential at large dista… Show more

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Cited by 13 publications
(1 citation statement)
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“…, of the radial Schrödinger equation near the origin determines the Jost function ( ) I + k , which has an important role in examining the analytical properties of the partial wave scattering amplitude [21,[32][33][34][35]. In the upper half of the complex k-plane, > k Im 0, ( )…”
mentioning
confidence: 99%
“…, of the radial Schrödinger equation near the origin determines the Jost function ( ) I + k , which has an important role in examining the analytical properties of the partial wave scattering amplitude [21,[32][33][34][35]. In the upper half of the complex k-plane, > k Im 0, ( )…”
mentioning
confidence: 99%