On the Kernel of the Klein-Gordon Operator

  • Vladislav V. Kravchenko

    Cinvestav del IPN, Santiago De Querétaro, Mexico
  • R. Castillo P.

    IPN, Unidad Zacatenco, Mexico, D.F., Mexico

Abstract

In this work with the aid of technics of quaternionic analysis we show that any solution of the Klein-Gordon equation can be represented via two solutions of the Dirac equation with the same mass. Moreover, the two functions corresponding to each solution of the Klein-Gordon equation are unique.

Cite this article

Vladislav V. Kravchenko, R. Castillo P., On the Kernel of the Klein-Gordon Operator. Z. Anal. Anwend. 17 (1998), no. 2, pp. 261–265

DOI 10.4171/ZAA/819