Physics
Scientific paper
Apr 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994angeo..12..220r&link_type=abstract
Annales Geophysicae (ISSN 0992-7689), vol. 12, no. 2/3, p. 220-225
Physics
2
Bessel Functions, Boundary Value Problems, Klein-Gordon Equation, Plasma Waves, Algebra, Delta Function, Linear Equations, Wave Propagation
Scientific paper
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.
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