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|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.|
|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.|
|Rights:||Copyright © European Geosciences Union 1994|
|Appears in Collections:||Published Articles, Dept. of Physics and Astronomy|
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