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Title: Efficient, reliable computation of resonances of the one-dimensional Schroedinger equation

We present a numerical method, implemented in a Fortran code RESON, for computing resonance of the radial one-dimensional Schroedinger equation, for an underlying potential that decays sufficiently fast at infinity. The basic approach is to maximize the time-delay function [tau]([lambda]) as in the LeRoy program TDELAY. We present some theory that allows a preliminary bracketing of the resonance and various ways of reducing the total work. Together with automatic meshsize selection this leads to a method that has proved efficient, robust, and extremely trouble-free in numerical tests. The code makes use of Marletta's Sturm-Liouville solver, SLO2F, due to go into the NAG library. 24 refs., 4 figs., 3 tabs.
Authors:
 [1]
  1. (Royal Military College of Science, Swindon (United Kingdom))
Publication Date:
OSTI Identifier:
7158792
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; (United States); Journal Volume: 112:2
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; INELASTIC SCATTERING; COMPUTERIZED SIMULATION; SCHROEDINGER EQUATION; NUMERICAL SOLUTION; DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SCATTERING; SIMULATION; WAVE EQUATIONS 661100* -- Classical & Quantum Mechanics-- (1992-); 990200 -- Mathematics & Computers