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Zeitschrift für Analysis und ihre Anwendungen


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Volume 17, Issue 2, 1998, pp. 261–265
DOI: 10.4171/ZAA/819

Published online: 1998-06-30

On the Kernel of the Klein-Gordon Operator

Vladislav V. Kravchenko[1] and R. Castillo P.[2]

(1) Cinvestav del IPN, Santiago De Querétaro, Mexico
(2) IPN, Unidad Zacatenco, Mexico, D.F., Mexico

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.

Keywords: Klein-Gordon operator, Dirac operator, quaternions

Kravchenko Vladislav, Castillo P. R.: On the Kernel of the Klein-Gordon Operator. Z. Anal. Anwend. 17 (1998), 261-265. doi: 10.4171/ZAA/819