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A note on the Klein-Gordon equation and its solutions with applications to certain boundary value problems involving waves in plasma and in the atmosphere

Item

Title (Dublin Core)

A note on the Klein-Gordon equation and its solutions with applications to certain boundary value problems involving waves in plasma and in the atmosphere

Description (Dublin Core)

Certain algebraic solutions of the Klein-Gordon equation which involve Bessel functions are examined. It is demonstrated that these functions constitute an infinite series, each term of which is the solution of a boundary value problem involving a combination of source functions which comprise delta functions and their derivatives to infinite order. In addition, solutions to the homogeneous equation are constructed which comprise a continuous spectrum over non-integer order. These solutions are discussed in the context of wave propagation in isotropic cold plasma and the atmosphere.

Creator (Dublin Core)

Robinson, T. R.

Date (Dublin Core)

2018-09-27

Type (Dublin Core)

Text

Format (Dublin Core)

application/pdf

Identifier (Dublin Core)

10.1007/s00585-994-0220-3
https://angeo.copernicus.org/articles/12/220/1994/

Source (Dublin Core)

eISSN: 1432-0576

Language (Dublin Core)

eng
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