A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schrödinger Equation

Details A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schrödinger Equation A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schrödinger Equation

2008-11-15

arxiv.org/abs/0811.2473v1

Mathematics

Numerical Analysis

38 pages, 29 figures

Scientific paper

In the present paper we introduce a new methodology for the construction of
numerical methods for the approximate solution of the one-dimensional
Schr\"odinger equation. The new methodology is based on the requirement of
vanishing the phase-lag and its derivatives. The efficiency of the new
methodology is proved via error analysis and numerical applications.

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