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

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.

Keywords

• Operational methods
• WKB
• Analytic solution.