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
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页数:10
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