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 | Zendy

T. R. Robinson | Zendy

Open Access

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

Author(s) -

T. R. Robinson

Publication year - 1994

Publication title -

annales geophysicae

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.522

H-Index - 93

eISSN - 1432-0576

pISSN - 0992-7689

DOI - 10.1007/s00585-994-0220-3

Subject(s) - boundary value problem , bessel function , mathematical analysis , context (archaeology) , wave equation , mathematics , physics , isotropy , optics , paleontology , biology

Certain algebraic solutions of theKlein-Gordon equation which involve Bessel functions are examined. It isdemonstrated that these functions constitute an infinite series, each term ofwhich is the solution of a boundary value problem involving a combination ofsource functions which comprise delta functions and their derivatives toinfinite order. In addition, solutions to the homogeneous equation areconstructed which comprise a continuous spectrum over non-integer order. Thesesolutions are discussed in the context of wave propagation in isotropic coldplasma and the atmosphere

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