ASYMPTOTIC ITERATION METHOD FOR SINGULAR POTENTIALS

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 10 Apr 2008Embargo end date: 01 Jan 2008 English Publisher:World Scientific Pub Co Pte LtJournal:International Journal of Modern Physics A, volume 23, pages 1,405-1,415 (issn: 0217-751X, eissn: 1793-656X,

Copyright policy )Funded by:NSERC | unidentified

Authors: Champion, Brodie; Hall, Richard L.; Saad, Nasser;

doi: 10.1142/s0217751x08039852 , 10.48550/arxiv.0802.2072

arXiv: 0802.2072

ASYMPTOTIC ITERATION METHOD FOR SINGULAR POTENTIALS

- Summary
- Subjects
- Metrics

Abstract

The asymptotic iteration method (AIM) is applied to obtain highly accurate eigenvalues of the radial Schrödinger equation with the singular potential V(r) = r2+λ/rα(α,λ>0) in arbitrary dimensions. Certain fundamental conditions for the application of AIM, such as a suitable asymptotic form for the wave function, and the termination condition for the iteration process, are discussed. Several suggestions are introduced to improve the rate of convergence and to stabilize the computation. AIM offers a simple, accurate, and efficient method for the treatment of singular potentials, such as V(r), valid for all ranges of coupling λ.

Related Organizations

Concordia University of Edmonton
Canada
Concordia University Wisconsin
United States
University of Prince Edward Island
Canada
Concordia University
Canada
Government of Prince Edward Island
Canada

Keywords

(AIM), spiked harmonic oscillator potentials, singular potentials, asymptotic iteration method, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, Mathematical Physics (math-ph), Schrödinger equations, bound states, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	39
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%