The second-order Klein-Gordon field equation
type: Item
instance of: scholarly article
title: The second-order Klein-Gordon field equation
zbMATH Open document ID: 1084.81027
DOI: 10.1155/S0161171204406565
author: D. Gomes
author: E. C. de Oliveira
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/52242
review text: Summary: We introduce and discuss the generalized Klein-Gordon second-order partial differential equation in the Robertson-Walker space-time, using the Casimir second-order invariant operator written in hyperspherical coordinates. The de Sitter and anti-de Sitter space-times are recovered by means of a convenient choice of the parameter associated to the space-time curvature. As an application, we discuss a few properties of the solutions. We also discuss the case where we have positive frequency exponentials and the creation and annihilation operators of particles with known quantum numbers. Finally, we recover the Minkowskian case, that is, the case of null curvature.
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 58J45
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 2171817
MaRDI profile type: Publication
OpenAlex ID: W2052268141
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description: scientific article; zbMATH DE number 2171817