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
| Title | High-precision numerical determination of eigenvalues for a double-well potential related to the Zinn-Justin conjecture | Authors | Alhendi, H.A. ; Lashin, Elsayed | Issue Date | 2005 | Publisher | IOP Publishing | Journal | Journal of Physics A: Mathematical and General | DOI | 10.1088/0305-4470/38/30/012 | Scopus ID | 2-s2.0-22644434957 |
Attached Files
| File | Description | Size | Format | |
|---|---|---|---|---|
| zin_justin_conj_0402101v2.pdf | 104.2 kB | Adobe PDF | View/Open |
Similar Items from Core Recommender Database
Google ScholarTM
Check
Citations
6
in scopus
views
35
in Shams Scholar
downloads
14
in Shams Scholar
Items in Ain Shams Scholar are protected by copyright, with all rights reserved, unless otherwise indicated.