On the Kernel of the Klein-Gordon operator

V. V. Kravchenko; P. R. Castillo

doi:10.4171/ZAA/819

On the Kernel of the Klein-Gordon operator

V. V. Kravchenko, P. R. Castillo

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	261-265
Number of pages	5
Journal	Zeitschrift fur Analysis und ihre Anwendung
Volume	17
Issue number	2
DOIs	https://doi.org/10.4171/ZAA/819
State	Published - 1998

Keywords

Dirac operator
Klein gordon operator
Quaternions

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10.4171/ZAA/819

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title = "On the Kernel of the Klein-Gordon operator",

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.",

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AU - Castillo, P. R.

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AB - 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.

KW - Dirac operator

KW - Klein gordon operator

KW - Quaternions

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U2 - 10.4171/ZAA/819

DO - 10.4171/ZAA/819

M3 - Artículo

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JO - Zeitschrift fur Analysis und ihre Anwendung

JF - Zeitschrift fur Analysis und ihre Anwendung

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ER -

On the Kernel of the Klein-Gordon operator

Abstract

Keywords

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