First-order self-energy correction in hydrogenlike systems

被引：98

作者：

Yerokhin, VA

Shabaev, VM

机构：

[1] Inst High Performance Comp & Data Bases, St Petersburg 198005, Russia

[2] St Petersburg State Univ, Dept Phys, St Petersburg 198904, Russia

来源：

PHYSICAL REVIEW A | 1999年 / 60卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.60.800

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We present a detailed description of a procedure for the numerical evaluation of the first-order self-energy correction for an arbitrary excited state. An efficient schema of the numerical treatment of the many-potential part of the Dirac-Coulomb Green function improves the speed of the computation considerably. This feature is extremely important for higher-order self-energy calculations. We apply this method to the evaluation of the self-energy correction for the excited states with \kappa\less than or equal to 5 and n less than or equal to 5 for some high-Z ions. [S1050-2947(99)09907-2].

引用

页码：800 / 811

页数：12

共 27 条

[1] RELATIVISTIC CORRECTION TO THE LAMB SHIFT [J].

BARANGER, M ;

BETHE, HA ;

FEYNMAN, RP .

PHYSICAL REVIEW, 1953, 92 (02) :482-501

[2]

Bateman H., 1953, HIGHER TRANSCENDENTA

[3] BASIS-SET APPROACH TO CALCULATING THE RADIATIVE SELF-ENERGY IN HIGHLY IONIZED ATOMS [J].

BLUNDELL, SA ;

SNYDERMAN, NJ .

PHYSICAL REVIEW A, 1991, 44 (03) :R1427-R1430

[4] LAMB SHIFT OF A TIGHTLY BOUND ELECTRON .1. METHOD [J].

BROWN, GE ;

LANGER, JS ;

SCHAEFER, GW .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1959, 251 (1264) :92-104

[5]

DESIDERIO AM, 1971, PHYS REV A, V3, P1287

[6]

Gradshtein I. S., 1980, TABLE INTEGRALS SERI

[7] Coordinate-space approach to the bound-electron self-energy: Coulomb field calculation [J].

Indelicato, P ;

Mohr, PJ .

PHYSICAL REVIEW A, 1998, 58 (01) :165-179

[8] MANY-BODY PERTURBATION-THEORY CALCULATIONS OF ENERGY-LEVELS ALONG THE LITHIUM ISOELECTRONIC SEQUENCE [J].

JOHNSON, WR ;

BLUNDELL, SA ;

SAPIRSTEIN, J .

PHYSICAL REVIEW A, 1988, 37 (08) :2764-2777

[9]

Luke Y. L., 1975, Mathematical functions and their approximations

[10]

MANAKOV NL, 1989, ZH EKSP TEOR FIZ+, V95, P1167

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