Abstract
During the past several decades, the Klein-Gordon equation with the Coulomb potential has been studied in three dimensions. With the interest of the higher-dimensional field theory, the Schrodinger equation and the Dirac equation with a Coulomb potential have been studied in (D+1) dimensions. The Klein-Gordon equation with a Coulomb potential in (D+1) dimensions has been discussed by the different approaches. The purposes of this Chapter are two-fold. The first one is to re-study this problem following the confluent hypergeometric equation approach. The another one, which is the main purpose of this Chapter, is to analyze the variations of the eigenvalues on the dimension D.
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