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Far East Journal of Applied Mathematics

Far East Journal of Applied Mathematics
Volume 70, Issue 2, Pages 139 - 145 (September 2012)

ASYMPTOTICS OF THE KLEIN-GORDON EQUATION

Ana Magnolia MarÃn, Ruben Dario OrtÃz and Joel Arturo Rodriguez Ceballos

Abstract:

We propose a simple method for constructing asymptotics of eigenvalues for the Klein-Gordon equation in the presence of a shallow potential well. Using Green functions, we reduce the initial problem to an integral equation and then applying the method of Neumann series to solve it.

Keywords and phrases:

Klein-Gordon equation, asymptotics, eigenfunctions, Green functions.

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