The Dirac-Coulomb problem: a mathematical revisit

被引：4

作者：

Alhaidari, A. D. ^{[1
]}

Bahlouli, H. ^{[1
,2
]}

Ismail, M. E. H. ^{[3
,4
]}

机构：

[1] Saudi Ctr Theoret Phys, Dhahran, Saudi Arabia

[2] King Fahd Univ Petr & Minerals, Dept Phys, Dhahran 31261, Saudi Arabia

[3] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[4] King Saud Univ, Dept Math, Riyadh, Saudi Arabia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 36期

关键词：

L-2 SERIES SOLUTION; ENERGIES;

D O I：

10.1088/1751-8113/45/36/365204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain a symmetric tridiagonal matrix representation of the Dirac-Coulomb operator in a suitable complete square integrable basis. Orthogonal polynomial techniques along with the Darboux method are used to obtain the bound states energy spectrum, the relativistic scattering amplitudes and phase shifts from the asymptotic behavior of the polynomial solutions associated with the resulting three-term recursion relation.

引用

页数：9

共 16 条

[1] Dirac-Coulomb energy levels and expectation values [J].