A NEW UNIFORM ASYMPTOTIC APPROXIMATION OF 3D SCATTERING WAVE FUNCTION FOR A CENTRAL POTENTIAL

被引：0
|
作者：
Grama, N. [1 ]
Grama, C. [1 ]
Zamfirescu, I. [1 ]
机构：
[1] Horia Hulubei Natl Inst Nucl Phys & Engn, RO-077125 Bucharest, Romania
来源：
ROMANIAN JOURNAL OF PHYSICS | 2010年 / 55卷 / 5-6期
关键词：
3D scattering wave function; asymptotic approximation; DIFFERENTIAL EQUATIONS; SCHRODINGER-OPERATORS; PROPAGATION; DIFFRACTION; EXPANSIONS; PLANE;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new uniform asymptotic approximation of the 3D scattering wave function for a central potential is obtained by using an etalon function generated by the problem. The regular reduced radial wave function of zero orbital angular momentum is used as etalon function rather than a standard special function, as used in the Kravtsov-Ludwig uniform approximation. The method is applied to the scattering by a pure Coulomb potential. The obtained uniform asymptotic approximation of the 3D Coulomb scattering wave function has the same expression as the exact solution.
引用
收藏
页码：569 / 584
页数：16
相关论文
共 50 条
  • [21] Solitary and periodic wave solutions to the family of new 3D fractional WBBM equations in mathematical physics
    Abdulla-Al-Mamun
    Shahen, Nur Hasan Mahmud
    Ananna, Samsun Nahar
    Asaduzzaman, Md.
    Foyjonnesa
    HELIYON, 2021, 7 (07)
  • [22] Milimeter-wave Propagation in 3D Knitted Fabrics
    Kokolia, Martin
    Raida, Zbynek
    2018 22ND INTERNATIONAL MICROWAVE AND RADAR CONFERENCE (MIKON 2018), 2018, : 660 - 663
  • [23] Tutorial: Source simulation for 3D poroelastic wave equations
    Zhang, Yijie
    Gao, Jinghuai
    GEOPHYSICS, 2019, 84 (06) : W33 - W45
  • [24] The Simulation of 3D Wave Fields in Complex Topography Media
    Titov, Pavel
    SUPERCOMPUTING (RUSCDAYS 2019), 2019, 1129 : 451 - 462
  • [25] Effective-radius approximation in the problem of two-dimensional scattering by a central short-range potential
    Pupyshev, V. V.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2015, 182 (02) : 264 - 283
  • [26] Numerical simulation of borehole compressional wave and shear wave in 3D vug formation
    Zhang, Zhitao
    Wang, Zhuwen
    Han, Ruiyi
    Cui, Yitong
    Qi, Xinghua
    Guo, Yuhang
    JOURNAL OF APPLIED GEOPHYSICS, 2024, 228
  • [27] Reciprocity and Representations for Wave Fields in 3D Inhomogeneous Parity-Time Symmetric Materials
    Wapenaar, Kees
    Slob, Evert
    SYMMETRY-BASEL, 2022, 14 (11):
  • [28] A 3D parabolic equation model with higher-order operator approximation
    Han, Xiaoxiao
    Li, Jianlong
    Jing, Cun
    Fang, Zeyu
    GLOBAL OCEANS 2020: SINGAPORE - U.S. GULF COAST, 2020,
  • [29] 3D fluorescence optical tomography with directed sources using the δ-SP3 approximation
    Patil, Nishigandha
    Naik, Naren
    DIFFUSE OPTICAL SPECTROSCOPY AND IMAGING VIII, 2021, 11920
  • [30] Inexpensive Mie scattering experiment for the classroom manufactured by 3D printing
    Scholz, Christian
    Sack, Achim
    Heckel, Michael
    Poeschel, Thorsten
    EUROPEAN JOURNAL OF PHYSICS, 2016, 37 (05)
12345