ON INTEGRAL-REPRESENTATIONS OF THE COULOMB FUNCTIONS

被引:1
作者
BERA, PK [1 ]
DAS, U [1 ]
BHATTACHARYYA, C [1 ]
TALUKDAR, B [1 ]
机构
[1] ABHEDANANDA MAHAVIDYALAYA,DEPT PHYS,SAINTHIA 731234,W BENGAL,INDIA
关键词
D O I
10.1063/1.529715
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
By dealing with a new integral representation for the irregular s-wave Coulomb function, exact analytical expressions for the corresponding Jost states in momentum space are constructed, and their usefulness in studying the Coulomb half-shell scattering is demonstrated. A supersymmetry-inspired ladder-operator relation is employed to derive higher partial-wave generalization of the results presented. Some applications of the integral representation for the associated regular solution are also sought.
引用
收藏
页码:1403 / 1407
页数:5
相关论文
共 19 条
[1]  
Bateman H., 1953, HIGHER TRANSCENDENTA, VI-III
[2]  
Bateman H., 1953, HIGHER TRANSCENDENTA, V2
[3]   INTEGRAL-REPRESENTATION FOR OFF-SHELL JOST FUNCTIONS [J].
DAS, U ;
TALUKDAR, B ;
BERA, PK .
PHYSICAL REVIEW C, 1990, 42 (03) :1144-1146
[4]   SOME RESULTS ON OFF-SHELL JOST FUNCTION [J].
FUDA, MG .
PHYSICAL REVIEW C, 1976, 14 (01) :37-39
[5]   GENERALIZATION OF JOST FUNCTION AND ITS APPLICATION TO OFF-SHELL SCATTERING [J].
FUDA, MG ;
WHITING, JS .
PHYSICAL REVIEW C, 1973, 8 (04) :1255-1261
[6]   THE FACTORIZATION METHOD [J].
INFELD, L ;
HULL, TE .
REVIEWS OF MODERN PHYSICS, 1951, 23 (01) :21-68
[7]  
JOST R, 1947, HELV PHYS ACTA, V20, P256
[8]   LADDER OPERATOR RELATIONS FOR HYPERGEOMETRIC-FUNCTIONS [J].
LAHA, U ;
BHATTACHARYYA, C ;
TALUKDAR, B .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (09) :L473-L478
[9]  
LAHA U, 1987, THESIS VISVABHARATI
[10]  
MAXIMON LC, 1982, GWUDPTR821 REP