J-matrix method of scattering for potentials with inverse square singularity: the real representation

被引：2
|
作者：
Alhaidari, A. D. [1 ]
Bahlouli, H. [1 ,2 ]
Al-Marzoug, S. M. [1 ,2 ]
Abdelmonem, M. S. [1 ,2 ]
机构：
[1] Saudi Ctr Theoret Phys, Jeddah 21438, Saudi Arabia
[2] King Fahd Univ Petr & Minerals, Dept Phys, Dhahran 31261, Saudi Arabia
来源：
PHYSICA SCRIPTA | 2015年 / 90卷 / 05期
关键词：
scattering; J-matrix method; inverse square potential; tridiagonal physics; RESONANCES; RENORMALIZATION; EXTENSIONS; MODEL;
D O I：
10.1088/0031-8949/90/5/055205
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The J-matrix method was developed to handle regular short-range scattering potentials. Its accuracy, stability, and convergence properties compare favorably with other successful scattering methods. Recently, we extended the method to the treatment of potentials with r(-1) singularity. In this work, we do the same for r(-2) singular potentials.
引用
收藏
页数：9
相关论文
共 21 条
  • [1] J-matrix method of scattering for inverse-square singular potentials with supercritical coupling I. No regularization
    Alhaidari, Abdulaziz D.
    Bahlouli, Hocine
    Aparicio, Carlos P.
    Al-Marzoug, S. M.
    ANNALS OF PHYSICS, 2022, 444
  • [2] J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization
    Alhaidari, Abdulaziz D.
    Bahlouli, Hocine
    Al-Marzoug, S. M.
    Aparicio, Carlos P.
    ANNALS OF PHYSICS, 2022, 444
  • [3] Regularization in the J-matrix method of scattering revisited
    Alhaidari, A. D.
    Bahlouli, H.
    Abdelmonem, M. S.
    Al-Ameen, F.
    Al-Abdulaal, T.
    PHYSICS LETTERS A, 2007, 364 (05) : 372 - 377
  • [4] Deformation of the J-matrix method of scattering
    Alhaidari, AD
    FOUNDATIONS OF PHYSICS LETTERS, 2003, 16 (06) : 579 - 591
  • [5] Singular short range potentials in the J-matrix approach
    Abdelmonem, M. S.
    Nasser, I.
    Bahlouli, H.
    Al Khawaja, U.
    Alhaidari, A. D.
    PHYSICS LETTERS A, 2009, 373 (29) : 2408 - 2412
  • [6] J-matrix method of scattering in one dimension: The nonrelativistic theory
    Alhaidari, A. D.
    Bahlouli, H.
    Abdelmonem, M. S.
    ANNALS OF PHYSICS, 2009, 324 (12) : 2561 - 2578
  • [7] The S-matrix structure and the inverse scattering transform in the J-matrix approach
    Zaitsev, SA
    THEORETICAL AND MATHEMATICAL PHYSICS, 2004, 140 (01) : 918 - 930
  • [8] A new class of Poschl-Teller potentials with inverse square singularity and their spectra using the asymptotic iteration method
    Assi, I. A.
    Sous, A. J.
    Bahlouli, H.
    MODERN PHYSICS LETTERS A, 2018, 33 (22)
  • [9] Calculation of electron-impact ionization using the J-matrix method
    Konovalov, D. A.
    Bray, I.
    PHYSICAL REVIEW A, 2010, 82 (02):
  • [10] Study of the 2-channel systems using the J-matrix method
    Abdelmonem, M. S.
    Nasser, I.
    MOLECULAR PHYSICS, 2016, 114 (22) : 3328 - 3340
123