scholarly journals A generating integral for the matrix elements of the Coulomb Green’s function with the Coulomb wave functions

2020 ◽  
Vol 61 (3) ◽  
pp. 032103
Author(s):  
K. Dzikowski ◽  
O. D. Skoromnik
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Wave Functions ◽  
Matrix Elements ◽  
The Matrix ◽  
Coulomb Green’S Function

Matrix elements of the reduced Coulomb Green's function

1985 ◽  
Vol 5 (2) ◽  
pp. 113-123
Author(s):  
J. Młodzki ◽  
M. Suffczyński
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matrix Elements ◽  
Coulomb Green’S Function

Integral equations and relations for Lamé functions and ellipsoidal wave functions

1968 ◽  
Vol 64 (1) ◽  
pp. 113-126 ◽  
Author(s):  
B. D. Sleeman
Keyword(s):  
Wave Function ◽  
Green’S Function ◽  
Integral Equations ◽  
Green's Function ◽  
Function Theory ◽  
Natural Generalization ◽  
Wave Functions ◽  
Linear Integral ◽  
First Time ◽  
Linear Integral Equations

AbstractNon-linear integral equations and relations, whose nuclei in all cases is the ‘potential’ Green's function, satisfied by Lamé polynomials and Lamé functions of the second kind are discussed. For these functions certain techniques of analysis are described and these find their natural generalization in ellipsoidal wave-function theory. Here similar integral equations are constructed for ellipsoidal wave functions of the first and third kinds, the nucleus in each case now being the ‘free space’ Green's function. The presence of ellipsoidal wave functions of the second kind is noted for the first time. Certain possible generalizations of the techniques and ideas involved in this paper are also discussed.

Coulomb Green's Function in Closed Form

1963 ◽  
Vol 10 (11) ◽  
pp. 469-470 ◽  
Author(s):  
Levere Hostler ◽  
R. H. Pratt
Keyword(s):  
Green’S Function ◽  
Closed Form ◽  
Green's Function ◽  
Coulomb Green’S Function
Sign in / Sign up

Export Citation Format

Share Document