The momentum representation of the two-body Coulomb Green's function in n-dimensional space

被引：0

作者：

Shablov, VL ^{[1
]}

Bilyk, VA

Popov, YV

机构：

[1] Obninsk Phys & Power Engn Inst, Obninsk 249020, Russia

[2] Moscow MV Lomonosov State Univ, Inst Nucl Phys, Moscow 119899, Russia

来源：

JOURNAL DE PHYSIQUE IV | 1999年 / 9卷 / P6期

关键词：

D O I：

10.1051/jp4:1999615

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The explicit expression for the two-body n-dimensional Coulomb Green's function is presented in the Schwinger's integral form. The structure of its singularities is found to be independent on n. This fact leads to the Peterkop's theory of effective charges as well as to the new method of removing three-body Coulomb singularities. The bound states problem for the n-dimensional Coulomb potential is investigated too.

引用

页码：65 / 69

页数：5

共 50 条

[1] Graph representation of n-dimensional space
Tomasz Kosicki
Advances in Manufacturing, 2014, (01) : 54 - 60
[2] Graph representation of n-dimensional space
Kosicki, Tomasz
ADVANCES IN MANUFACTURING, 2014, 2 (01) : 54 - 60
[3] Graph representation of n-dimensional space
Tomasz Kosicki
Advances in Manufacturing, 2014, 2 : 54 - 60
[4] A Flag Representation for a n-Dimensional Convex Body
Rafik Aramyan
The Journal of Geometric Analysis, 2019, 29 : 2998 - 3009
[5] A Flag Representation for a n-Dimensional Convex Body
Aramyan, Rafik
JOURNAL OF GEOMETRIC ANALYSIS, 2019, 29 (03) : 2998 - 3009
[6] QUANTIZATION OF ANGULAR-MOMENTUM IN THE N-DIMENSIONAL SPACE
ALJABER, SM
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1995, 110 (08): : 993 - 995
[7] GRAPHICAL REPRESENTATION OF N-DIMENSIONAL SPACE-GROUPS
SCHWARZENBERGER, RLE
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1982, 44 (MAR) : 244 - 266
[8] REPRESENTATION OF SPINORS IN N-DIMENSIONAL SPACE BY TENSOR SYSTEMS
ZHELNORO.VA
DOKLADY AKADEMII NAUK SSSR, 1966, 169 (02): : 255 - &
[9] Alternative approach to the solution of the momentum-space Schrodinger equation for bound states of the N-dimensional Coulomb problem
Szmytkowski, Radoslaw
ANNALEN DER PHYSIK, 2012, 524 (6-7) : 345 - 352
[10] INDICATOR OF A FUNCTION SUBHARMONIC IN N-DIMENSIONAL SPACE
AZARIN, VS
DOKLADY AKADEMII NAUK SSSR, 1961, 139 (05): : 1033 - &

← 1 2 3 4 5 →