High Precision Resonance Finder for One Dimensional Potentials

Emil Sidky, Itzik Ben-Itzhak
J.R. Macdonald Laboratory, Kansas State University, Manhattan, KS 66506

Abstract

In molecular physics positions and widths of resonances for individual potential curves must be known for identification of states seen in experiments. Semi-classical theory (WKB) provides a fast estimate of resonance positions, but it can be orders of magnitude off in calculating the resonance lifetime. Conversely, there are a multitude of techniques, solving the one-dimensional Schroedinger eq. exactly, that give precise resonance energies and widths, but up until now exact solution has been a time-consuming, difficult procedure requiring the attention of a theory specialist. We present a phase-amplitude method giving accurate resonance energies and lifetimes that is as easy to apply as semi-classical theory (package available upon request).

Supported by the Division of Chemical Sciences, Office of Basic Energy Sciences, Office of Energy Research, U.S. Department of Energy.

Submitted to DAMOP/APS Centennial Meeting, Atlanta GA, in March 1999


 
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