Two-body Coulomb problems with sources for the J-matrix method

被引:7
|
作者
Ancarani, L. U. [1 ]
Gasaneo, G. [2 ,3 ]
机构
[1] Univ Paul Verlaine Metz, Lab Phys Mol & Collis, F-57078 Metz, France
[2] Univ Nacl Sur, Dept Fis, RA-8000 Bahia Blanca, Buenos Aires, Argentina
[3] Consejo Nacl Invest Cient & Tecn, RA-8000 Bahia Blanca, Buenos Aires, Argentina
来源
关键词
coulomb problem; sources; J-matrix; non-homogeneous; hypergeometric;
D O I
10.4208/jams.121110.122610a
中图分类号
O64 [物理化学(理论化学)、化学物理学]; O56 [分子物理学、原子物理学];
学科分类号
070203 ; 070304 ; 081704 ; 1406 ;
摘要
The two-body Coulomb problem with sources is studied. Closed form solutions are provided for particular non-homogeneities used within the J-matrix method. The results are employed to build analytical solutions having incoming, outgoing and standing wave asymptotic conditions.
引用
收藏
页码:203 / 211
页数:9
相关论文
共 50 条
  • [41] A discrete version of the inverse scattering problem and the J-matrix method
    Zaytsev, SA
    INVERSE PROBLEMS, 2005, 21 (03) : 1061 - 1074
  • [42] 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
  • [43] Information entropies for the Morse potential using the J-matrix method
    Abdelmonem, M. S.
    Abdel-Hady, Afaf
    Nasser, I.
    RESULTS IN PHYSICS, 2017, 7 : 1778 - 1780
  • [44] Relativistic J-matrix method -: art. no. 052716
    Horodecki, P
    PHYSICAL REVIEW A, 2000, 62 (05): : 052716 - 052711
  • [45] Two-body Coulomb wavefunctions as kernel for alternative integral transformations
    Gasaneo, G
    Colavecchia, FD
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (31): : 8443 - 8462
  • [46] Separable approximation to two-body matrix elements
    Robledo, Luis M.
    PHYSICAL REVIEW C, 2010, 81 (04):
  • [47] On perturbed two-body problems and harmonic oscillators
    Aparicio, I
    Floria, L
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE CHIMIE ASTRONOMIE, 1996, 323 (01): : 71 - 76
  • [48] Secular Dynamics for Curved Two-Body Problems
    Jackman, Connor
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2023, 35 (01) : 623 - 640
  • [49] Secular Dynamics for Curved Two-Body Problems
    Connor Jackman
    Journal of Dynamics and Differential Equations, 2023, 35 : 623 - 640
  • [50] J-matrix method of scattering in any L2basis
    Yamani, H.A.
    Alhaidari, A.D.
    Abdelmonem, M.S.
    2001, American Institute of Physics Inc. (64):