Relativistic J-matrix theory of scattering -: art. no. 062708

被引:38
作者
Alhaidari, AD
Yamani, HA
Abdelmonem, MS
机构
[1] King Fahd Univ Petr & Minerals, Dept Phys, Dhahran 31261, Saudi Arabia
[2] Minist Ind & Elect, Riyadh 11127, Saudi Arabia
来源
PHYSICAL REVIEW A | 2001年 / 63卷 / 06期
关键词
D O I
10.1103/PhysRevA.63.062708
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A systematic development of the relativistic J-matrix theory of scattering is presented. The reference Hamiltonian includes the Coulomb interaction, and the short-range perturbing potential may include spin-dependent coupling. The nonrelativistic limit is obtained and shown to be identical to the familiar nonrelativistic J matrix.
引用
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页数:12
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共 21 条
[1]   Group-theoretical foundation of the J-matrix theory of scattering [J].
Alhaidari, AD .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (38) :6721-6738
[2]   REMARKS ON RELATIVISTIC KEPLER PROBLEM [J].
BIEDENHARN, LC .
PHYSICAL REVIEW, 1962, 126 (02) :845-&
[3]   ONE-ELECTRON AND 2-ELECTRON PHOTOEJECTION FROM H- - MULTICHANNEL J-MATRIX CALCULATION [J].
BROAD, JT ;
REINHARDT, WP .
PHYSICAL REVIEW A, 1976, 14 (06) :2159-2173
[4]   THE DIRAC-EQUATION IN THE ALGEBRAIC-APPROXIMATION .2. EXTENDED BASIS SET CALCULATIONS FOR HYDROGENIC ATOMS [J].
DYALL, KG ;
GRANT, IP ;
WILSON, S .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1984, 17 (07) :1201-1209
[5]   VARIATIONAL REPRESENTATION OF THE DIRAC-COULOMB HAMILTONIAN WITH NO SPURIOUS ROOTS [J].
GOLDMAN, SP .
PHYSICAL REVIEW A, 1985, 31 (06) :3541-3549
[6]   GENERALIZED LAGUERRE REPRESENTATION - APPLICATION TO RELATIVISTIC 2-PHOTON DECAY-RATES [J].
GOLDMAN, SP .
PHYSICAL REVIEW A, 1989, 40 (03) :1185-1193
[7]   A simpler solution of the Dirac equation in a Coulomb potential [J].
Goodman, B ;
Ignjatovic, SR .
AMERICAN JOURNAL OF PHYSICS, 1997, 65 (03) :214-221
[8]  
Haymaker R. W., 1970, PADE APPROXIMATION T
[9]   THEORY OF J-MATRIX GREENS FUNCTIONS WITH APPLICATIONS TO ATOMIC POLARIZABILITY AND PHASE-SHIFT ERROR BOUNDS [J].
HELLER, EJ .
PHYSICAL REVIEW A, 1975, 12 (04) :1222-1231
[10]   J-MATRIX METHOD - APPLICATION TO S-WAVE ELECTRON-HYDROGEN SCATTERING [J].
HELLER, EJ ;
YAMANI, HA .
PHYSICAL REVIEW A, 1974, 9 (03) :1209-1214