English

Matrix continued fraction solution to the relativistic spin-$0$ Feshbach-Villars equations

Mathematical Physics 2015-09-24 v1 math.MP Quantum Physics

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.

Keywords

Cite

@article{arxiv.1509.06789,
  title  = {Matrix continued fraction solution to the relativistic spin-$0$ Feshbach-Villars equations},
  author = {N. C. Brown and Z. Papp and R. Woodhouse},
  journal= {arXiv preprint arXiv:1509.06789},
  year   = {2015}
}

Comments

8 pages