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 50 条
  • [21] DEVELOPMENTS IN J-MATRIX APPROACH TO SCATTERING
    HELLER, E
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1974, 19 (10): : 1187 - 1187
  • [22] J-matrix inverse-scattering approach for coupled channels with different thresholds
    Zaytsev, S. A.
    PHYSICAL REVIEW A, 2007, 76 (06)
  • [23] 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
  • [24] Charge-dependent NN interaction in the J-matrix inverse scattering approach
    Mazur A.I.
    Shirokov A.M.
    Vary J.P.
    Weber T.A.
    Mazur E.A.
    Bulletin of the Russian Academy of Sciences: Physics, 2008, 72 (6) : 806 - 810
  • [25] J-matrix method of scattering in any L2basis
    Yamani, H.A.
    Alhaidari, A.D.
    Abdelmonem, M.S.
    2001, American Institute of Physics Inc. (64):
  • [26] Modified J-matrix method for scattering -: art. no. 010404
    Vanroose, W
    Broeckhove, J
    Arickx, F
    PHYSICAL REVIEW LETTERS, 2002, 88 (01)
  • [27] Exact scattering and bound states solutions for novel hyperbolic potentials with inverse square singularity
    Alhaidari, A. D.
    MODERN PHYSICS LETTERS A, 2019, 34 (03)
  • [28] P-matrix and J-matrix approaches:: Coulomb asymptotics in the harmonic oscillator representation of scattering theory
    Bang, JM
    Mazur, AI
    Shirokov, AM
    Smirnov, YF
    Zaytsev, SA
    ANNALS OF PHYSICS, 2000, 280 (02) : 299 - 335
  • [29] 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
  • [30] J-MATRIX METHOD - EXTENSIONS TO ARBITRARY ANGULAR-MOMENTUM AND TO COULOMB SCATTERING
    YAMANI, HA
    FISHMAN, L
    JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (02) : 410 - 420
12345