Header menu link for other important links
Analytical study of D-dimensional fractional Klein–Gordon equation with a fractional vector plus a scalar potential
T. Das, , , S. Das
Published in Springer
Volume: 94
Issue: 1
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 α is unity. Finally, we furnish numerical results with a few eigenfunction graphs for different spatial dimensions and fractional parameters. © 2020, Indian Academy of Sciences.
About the journal
JournalData powered by TypesetPramana - Journal of Physics
PublisherData powered by TypesetSpringer
Open AccessNo