Analytical solutions for a double ring-shaped noncentral potential in D-dimensions

被引：0
|
作者：
Jie Gao
Min-Cang Zhang
机构：
[1] Shaanxi Normal University,College of Physics and Information Technology
来源：
Journal of the Korean Physical Society | 2016年 / 69卷
关键词：
Higher-dimensional space; Schrödinger equation; Double ring-shaped noncentral potential; Nikiforov-Uvarov method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present study, a generalized double ring-shaped Coulomb noncentral potential is proposed, and the D-dimensional Schrödinger equation with this potential is examined in hyperspherical coordinates. The Nikiforov-Uvarov (N-U) method is applied to obtain the D-dimensional energy eigenvalues and the corresponding eigenfunctions. The angular/radial wavefunction is written in terms of Jacobi/Laguerre polynomials.
引用
收藏
页码：1144 / 1151
页数：7
相关论文
共 50 条
  • [41] Effects of Dimensions in Added Ring-Shaped Magnet on Superconducting Levitation
    Futamura, Muneo
    Homma, Shunsuke
    [J]. IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2021, 31 (05)
  • [42] Analytical solutions for the Klein-Gordon equation with combined exponential type and ring-shaped potentials
    Ahmadov, A. I.
    Nagiyev, Sh. M.
    Ikot, A. N.
    Tarverdiyeva, V. A.
    [J]. SCIENTIFIC REPORTS, 2024, 14 (01)
  • [43] The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential
    You, Yuan
    Lu, Fa-Lin
    Sun, Dong-Sheng
    Chen, Chang-Yuan
    Dong, Shi-Hai
    [J]. ADVANCES IN HIGH ENERGY PHYSICS, 2018, 2018
  • [44] The supersymmetric WKB approximation of ring-shaped oscillator potential in r and θ dimensions with spherical polar coordinates
    Chen, G
    Chen, ZD
    [J]. CHINESE PHYSICS, 2004, 13 (04): : 445 - 447
  • [45] Exact solutions of the Klein-Gordon equation with a ring-shaped modified kratzer potential
    Cheng, Yan-Fu
    Dai, Tong-Qing
    [J]. CHINESE JOURNAL OF PHYSICS, 2007, 45 (05) : 480 - 487
  • [46] Supersymmetry and shape invariance of Hartmann potential and ring-shaped oscillator potential in the r and θ dimensions of spherical polar coordinates
    Qian, SW
    Huang, BW
    Wang, DY
    Gu, ZY
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 38 (02) : 139 - 142
  • [47] BOUND STATE SOLUTIONS OF THE SCHRODINGER EQUATION FOR THE HULTHEN PLUS RING-SHAPED LIKE POTENTIAL
    Ahmadov, H. I.
    Qocayeva, M. V.
    Aliyeva, T. H.
    Dadashov, E. A.
    Mehrabov, V. A.
    [J]. PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL II, 2018, : 35 - 37
  • [48] Exact solutions of the Schrodinger equation with a coulomb ring-shaped potential in the cosmic string spacetime
    Wang, Zhi
    Long, Zheng-wen
    Long, Chao-yun
    Teng, Jing
    [J]. PHYSICA SCRIPTA, 2015, 90 (05)
  • [49] The quantum characteristics of a class of complicated double ring-shaped non-central potential
    Sun, Dong-Sheng
    You, Yuan
    Lu, Fa-Lin
    Chen, Chang-Yuan
    Dong, Shi-Hai
    [J]. PHYSICA SCRIPTA, 2014, 89 (04)
  • [50] Schrodinger Equation with Hulthen Potential Plus Ring-Shaped Potential
    Agboola, D.
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 55 (06) : 972 - 976
12345