High-Precision Numerical Determination of Eigenvalues for a Double-Well Potential Related to the Zinn-Justin Conjecture

H. A. Alhendi; E. I. Lashin

doi:10.1088/0305-4470/38/30/012

High-Precision Numerical Determination of Eigenvalues for a Double-Well Potential Related to the Zinn-Justin Conjecture

Quantum Physics 2008-11-26 v2 High Energy Physics - Theory

Authors: H. A. Alhendi , E. I. Lashin

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Abstract

A numerical method of high precision is used to calculate the energy eigenvalues and eigenfunctions for a symmetric double-well potential. The method is based on enclosing the system within two infinite walls with a large but finite separation and developing a power series solution for the Schr $\ddot{o}$ dinger equation. The obtained numerical results are compared with those obtained on the basis of the Zinn-Justin conjecture and found to be in an excellent agreement.

Keywords

double-well potential eigenvalues numerical method Zinn-Justin conjecture Schrodinger equation power series solution

Cite

@article{arxiv.quant-ph/0402101,
  title  = {High-Precision Numerical Determination of Eigenvalues for a Double-Well Potential Related to the Zinn-Justin Conjecture},
  author = {H. A. Alhendi and E. I. Lashin},
  journal= {arXiv preprint arXiv:quant-ph/0402101},
  year   = {2008}
}

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Substantial changes including the title and the content of the paper 8 pages, 2 figures, 3 tables

High-Precision Numerical Determination of Eigenvalues for a Double-Well Potential Related to the Zinn-Justin Conjecture

Abstract

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