On- and off-shell Jost functions and their integral representations

被引：12

作者：

Laha, U. ^{[1
]}

Bhoi, J. ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Phys, Jamshedpur 831014, Bihar, India

来源：

PRAMANA-JOURNAL OF PHYSICS | 2016年 / 86卷 / 05期

关键词：

Jost functions; integral representations; Coulomb-Yamaguchi off-shell Jost solutions and functions; RATIONAL SEPARABLE POTENTIALS; MODIFIED NUCLEAR-SCATTERING; COULOMB GREENS-FUNCTION; T-MATRIX; KNOCKOUT REACTIONS; TRANSFORM;

D O I：

10.1007/s12043-015-1130-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By judicious exploitation of the transpose operator relation in conjunction with the differential equations of special functions of mathematical physics, integral representations of the on- and off-shell Jost functions are derived from the particular integrals of the inhomogeneous Schrodinger equation. Using the particular integral of the inhomogeneous Schrodinger equation, exact analytical expressions for the Coulomb and Coulomb plus Yamaguchi off-shell Jost solutions are constructed in the maximal reduced form. As a case study, the limiting behaviours and the on-shell discontinuities of the Coulomb plus Yamaguchi Jost solutions are verified numerically.

引用

页码：947 / 956

页数：10

共 39 条

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