High-precision numerical determination of eigenvalues for a double-well potential related to the Zinn-Justin conjecture

Alhendi, H.A. ; Lashin, Elsayed 


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 Schrödinger equation. The obtained numerical results are compared with those obtained on the basis of the Zinn-Justin conjecture and found to be in excellent agreement. © 2005 IOP Publishing Ltd.


Other data

Issue Date 2005
Publisher IOP Publishing
Journal Journal of Physics A: Mathematical and General 
URI http://research.asu.edu.eg/123456789/750
DOI 10.1088/0305-4470/38/30/012


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