Analytical study of D-dimensional fractional Klein-Gordon equation with a fractional vector plus a scalar potential

被引:5
|
作者
Das, Tapas [1 ]
Ghosh, Uttam [2 ]
Sarkar, Susmita [2 ]
Das, Shantanu [3 ]
机构
[1] Kodalia Prasanna Banga High Sch HS, South 24 Parganas, Kolkata 700146, India
[2] Univ Calcutta, Dept Appl Math, Kolkata 700009, India
[3] Bhabha Atom Res Ctr, Reactor Control Syst Design Sect E&I Grp, Mumbai 400085, India
来源
PRAMANA-JOURNAL OF PHYSICS | 2020年 / 94卷 / 01期
关键词
Fractional Klein-Gordon equation; power series method; fractional Coulomb potential; Mittag-Leffler function;
D O I
10.1007/s12043-019-1902-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
D-dimensional fractional Klein-Gordon equation with fractional vector and scalar potential has been studied. Both fractional potentials are taken as attractive Coulomb-type with different multiplicative parameters, namely v and s. Jumarie-type definitions for fractional calculus have been used. We have succeeded in achieving Whittaker-type classical differential equation in fractional mode for the required eigenfunction. Fractional Whittaker equation has been manipulated using the behaviour of the eigenfunction at asymptotic distance and origin. This manipulation delivers fractional-type confluent hypergeometric equation to solve. Power series method has been employed to do the task. All the obtained results agree with the existing results in literature when fractional parameter alpha is unity. Finally, we furnish numerical results with a few eigenfunction graphs for different spatial dimensions and fractional parameters.
引用
收藏
页数:10
相关论文
共 50 条
  • [41] Analytical and numerical validation for solving the fractional Klein-Gordon equation using the fractional complex transform and variational iteration methods
    Khader M.M.
    Adel M.
    Nonlinear Engineering, 2016, 5 (03) : 141 - 145
  • [42] Analytical investigation of the fractional Klein-Gordon equation along with analysis of bifurcation, sensitivity and chaotic behaviors
    Gu, Yongyi
    Lai, Yongkang
    MODERN PHYSICS LETTERS B, 2025,
  • [43] Exact Solutions of Klein-Gordon Equation with Exponential Scalar and Vector Potentials
    F. Taşkın
    I. Boztosun
    O. Bayrak
    International Journal of Theoretical Physics, 2008, 47 : 1612 - 1617
  • [44] Approximate solutions of D-dimensional Klein-Gordon equation with Yukawa potential via Nikiforov-Uvarov method
    Inyang, Etido P.
    Inyang, Ephraim P.
    Ntibi, Joseph E.
    Ibekwe, Etebong E.
    William, Eddy S.
    INDIAN JOURNAL OF PHYSICS, 2021, 95 (12) : 2733 - 2739
  • [45] Semiclassical methods to the Klein-Gordon equation with the unequal scalar and vector potentials
    Chen, Gang
    Chen, Zi-dong
    Xuan, Pei-cai
    PHYSICA SCRIPTA, 2006, 74 (03) : 367 - 370
  • [46] Approximate Solution of D-Dimensional Klein-Gordon Equation with Hulthn-Type Potential via SUSYQM
    H.Hassanabadi
    S.Zarrinkamar
    H.Rahimov
    Communications in Theoretical Physics, 2011, 56 (09) : 423 - 428
  • [47] On the energy decay rates for the 1D damped fractional Klein-Gordon equation
    Malhi, Satbir
    Stanislavova, Milena
    MATHEMATISCHE NACHRICHTEN, 2020, 293 (02) : 363 - 375
  • [48] Exact solutions of Klein-Gordon equation with exponential scalar and vector potentials
    Taskin, F.
    Boztosun, I.
    Bayrak, O.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (06) : 1612 - 1617
  • [49] Bound states of Klein-Gordon equation for scalar and vector linear potentials
    Chen, G
    Zhao, DF
    ACTA PHYSICA SINICA, 2003, 52 (12) : 2954 - 2956
  • [50] An accurate numerical method for solving the linear fractional Klein-Gordon equation
    Khader, M. M.
    Kumar, Sunil
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (18) : 2972 - 2979