Electronic Journal of Differential Equations,
Conference 02 (1999), pp. 125-131.
Title: Operational WKB solution to the initial/final-value problem for
Beechem-Haas equations
Author: Valentino Anthony Simpao (Math. Consultant Services, Greenville, KY, USA)
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.
Math Subject Classifications: 92C45, 34E20, 58J35.
Key Words: Operational methods; WKB; Analytic solution.