ASYMPTOTIC-EXPANSION OF THE DIRAC-COULOMB RADIAL GREENS-FUNCTION

被引：7

作者：

INDELICATO, P

MOHR, PJ

机构：

[1] Laboratoire de Physique Atomique et Nucléaire, Unité de Recherche Associée au CNRS No. 771, Université P. et M. Curie, F-75252 Paris Cedex 05, Case 93

[2] National Institute of Standards and Technology, Gaithersburg

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 02期

关键词：

D O I：

10.1063/1.531150

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An asymptotic expansion of the Whittaker function M α,β(x), for β→∞, with α and x fixed, is employed to obtain the asymptotic expansion of the Dirac-Coulomb radial Green's function Gκ(x2,x1,z) when the magnitude of the angular momentum quantum number κ is large. This result has application in numerical calculations of quantum electrodynamic effects in an external Coulomb field. © 1995 American Institute of Physics.

引用

页码：714 / 724

页数：11

共 10 条

[1]

BUCHHOLZ H, 1969, CONFLUENT HYPERGEOME, P94

[2]

LUKE YL, 1969, SPECIAL FUNCTIONS TH, V1, P133

[3]

MAGNUS W, 1966, FORMULAS THEOREMS SP, P318

[4] SELF-ENERGY RADIATIVE-CORRECTIONS IN HYDROGEN-LIKE SYSTEMS [J].

MOHR, PJ .

ANNALS OF PHYSICS, 1974, 88 (01) :26-51

[5] NUMERICAL EVALUATION OF 1S1-2-STATE RADIATIVE LEVEL SHIFT [J].

MOHR, PJ .

ANNALS OF PHYSICS, 1974, 88 (01) :52-87

[6]

Olver F. W. J., 1954, PHILOS T R SOC A, V247, P307, DOI DOI 10.1098/RSTA.1954.0020

[7]

OLVER FWJ, 1974, ASYMPTOTICS SPECIAL, P368

[8]

Slater L. J., 1960, CONFLUENT HYPERGEOME, P67

[9]

Whittaker E. T., 2021, COURSE MODERN ANAL

[10] VACUUM POLARIZATION IN A STRONG COULOMB FIELD [J].

WICHMANN, EH ;

KROLL, NM .

PHYSICAL REVIEW, 1956, 101 (02) :843-859

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