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On numerical solution of the Schrödinger equation: the shooting method revisited

✍ Scribed by D. Indjin; G. Todorović; V. Milanović; Z. Ikonić

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
381 KB
Volume
90
Category
Article
ISSN
0010-4655

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✦ Synopsis

An alternative formulation of the "shooting" method for a numerical solution of the Schr0dinger equation is described for :ases of general asymmetric one-dimensional potential (planar geometry), and spherically symmetric potential. The method relies on matching the asymptotic wavefunctions and the potential core region wavefunctions, in course of finding bound states energies. It is demonstrated in the examples of Morse and Kratzer potentials, where a high accuracy of the calculated eigenvalues is found, together with a considerable saving of the computation time.

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Numerical solution of eigenvalues for the Schrödinger equation
✍ J.W. Neuberger; D.W. Noid 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 267 KB

A method is proposed and tested for the quantum mechanical calculation of eigenvalues for a hamiltonian consisting of three coupled oscillators. The agreement of eisenvalues with a large variational calcularion is excellenr.