Matrix continued fraction solution to the relativistic spin-00 Feshbach-Villars equations

preprint2015arXivOpen access

Abstract

The Feshbach-Villars equations, like the Klein-Gordon equation, are relativistic quantum mechanical equations for spin-00 particles. We write the Feshbach-Villars equations into an integral equation form and solve them by applying the Coulomb-Sturmian potential separable expansion method. We consider bound-state problems in a Coulomb plus short range potential. The corresponding Feshbach-Villars Coulomb Green's operator is represented by a matrix continued fraction.

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