Fast eigenvalue algorithm for central potentials

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, , Citation R E Crandall 1983 J. Phys. A: Math. Gen. 16 L395 DOI 10.1088/0305-4470/16/12/001

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1 Dept. of Phys., Reed Coll., Portland, OR, USA

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0305-4470/16/12/L395

Abstract

An algorithm is described that seeks out Schrodinger eigenvalues Enl for a given central potential V(r). The algorithm has, in principle, arbitrary precision. A particular implementation has absolute error mod E-Enl mod decreasing as T-3, where T is machine computing time. The method is tested on the central Gaussian potential V(r)=-A exp(- lambda r2) of recent interest.

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