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...

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Veröffentlicht in:	Journal of computational physics 1994-06, Vol.112:2
1. Verfasser:	Pryce, J.D.
Format:	Artikel
Sprache:	eng
Schlagworte:	990200 > Mathematics & Computers CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS COMPUTERIZED SIMULATION DIFFERENTIAL EQUATIONS EQUATIONS GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE INELASTIC SCATTERING NUMERICAL SOLUTION PARTIAL DIFFERENTIAL EQUATIONS SCATTERING SCHROEDINGER EQUATION SIMULATION WAVE EQUATIONS 661100 > Classical & Quantum Mechanics-- (1992-)
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container_title	Journal of computational physics
container_volume	112:2
creator	Pryce, J.D.
description	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.
doi_str_mv	10.1006/jcph.1994.1095
format	Article
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title	Efficient, reliable computation of resonances of the one-dimensional Schroedinger equation
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