Calculation of the eigenfunctions and eigenvalues of Schrödinger type equations by asymptotic Taylor expansion method (ATEM)

Details Calculation of the eigenfunctions and eigenvalues of Schrödinger type equations by asymptotic Taylor expansion method (ATEM) Calculation of the eigenfunctions and eigenvalues of Schrödinger type equations by asymptotic Taylor expansion method (ATEM)

2010-08-04

arxiv.org/abs/1008.0697v1

Physics

Mathematical Physics

Scientific paper

A novel method is proposed to determine an analytical expression for
eigenfunctions and numerical result for eigenvalues of the Schr\"odinger type
equations, within the context of Taylor expansion of a function. Optimal
truncation of the Taylor series gives a best possible analytical expression for
eigenfunctions and numerical result for eigenvalues.

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