Electronic Journal of Differential Equations 15th annual Conference on Applied Mathematics, Univ. of Central Oklahoma,
Electron. J. Diff. Eqns., Conf. 02, 1999, pp. 125-131.

Operational WKB solution to the initial/final-value problem for Beechem-Haas equations

Valentino Anthony Simpao

Abstract:
Operational and Wantzel-Kramers-Brillouin (WKB) methods are utilized to obtain an analytical approximate solution of the Beechem-Haas equation for the initial/final-value problem with system parameters of radial profile. The Beechem-Haas equation herein is expanded from its traditional form, which determines its solutions in a spherical coordinate system as functions of the radial and time coordinates only, to one which includes the angular coordinates as well, thus providing a natural modeling framework for polarization phenomena.

Published January 21, 2000.
Subject classfications: 92C45, 34E20, 58J35.
Key words: operational methods, WKB, Analytic solution.

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Valentino Anthony Simpao
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