Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/19515
Title: 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
Authors: Robinson T. R.
First Published: 1-Apr-1994
Publisher: SPRINGER VERLAG
Citation: ANNALES GEOPHYSICAE-ATMOSPHERES HYDROSPHERES AND SPACE SCIENCES, 1994, 12 (2-3), pp. 220-225
Abstract: 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.
DOI Link: 10.1007/s00585-994-0220-3
ISSN: 0992-7689
Links: http://hdl.handle.net/2381/19515
http://www.ann-geophys.net/12/220/1994/angeo-12-220-1994.html
Type: Journal Article
Rights: Copyright © European Geosciences Union 1994
Appears in Collections:Published Articles, Dept. of Physics and Astronomy

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