The relativistic J-matrix theory of scattering:: An analytic solution

被引:4
作者
Alhaidari, AD [1 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Phys, Dhahran 31261, Saudi Arabia
关键词
D O I
10.1063/1.1445288
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The relativistic J-matrix is investigated in the case of Coulomb-free scattering for a general short-range spin-dependent perturbing potential and in two different L-2 bases. The resulting recursion relation of the reference problem, in this case, has an analytic solution. The nonrelativistic limit is obtained and shown to be identical to the familiar nonrelativistic J-matrix. (C) 2002 American Institute of Physics.
引用
收藏
页码:1129 / 1135
页数:7
相关论文
共 13 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]   Relativistic J-matrix theory of scattering -: art. no. 062708 [J].
Alhaidari, AD ;
Yamani, HA ;
Abdelmonem, MS .
PHYSICAL REVIEW A, 2001, 63 (06) :12
[3]   J-MATRIX METHOD - MULTICHANNEL SCATTERING AND PHOTOIONIZATION [J].
BROAD, JT ;
REINHARDT, WP .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1976, 9 (09) :1491-1502
[4]   VARIATIONAL REPRESENTATION OF THE DIRAC-COULOMB HAMILTONIAN WITH NO SPURIOUS ROOTS [J].
GOLDMAN, SP .
PHYSICAL REVIEW A, 1985, 31 (06) :3541-3549
[5]   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
[6]   J-MATRIX METHOD - APPLICATION TO S-WAVE ELECTRON-HYDROGEN SCATTERING [J].
HELLER, EJ ;
YAMANI, HA .
PHYSICAL REVIEW A, 1974, 9 (03) :1209-1214
[7]   NEW L2 APPROACH TO QUANTUM SCATTERING - THEORY [J].
HELLER, EJ ;
YAMANI, HA .
PHYSICAL REVIEW A, 1974, 9 (03) :1201-1208
[8]   Relativistic J-matrix method -: art. no. 052716 [J].
Horodecki, P .
PHYSICAL REVIEW A, 2000, 62 (05) :052716-052711
[9]  
MAGNUS M, 1966, FORMULAS THEOREMS SP
[10]   SO(2,1) LIE-ALGEBRA AND THE JACOBI-MATRIX METHOD FOR SCATTERING [J].
OJHA, PC .
PHYSICAL REVIEW A, 1986, 34 (02) :969-977