dorsal/arxiv
View SchemaHigh-Precision Numerical Determination of Eigenvalues for a Double-Well Potential Related to the Zinn-Justin Conjecture
| Authors | H. A. Alhendi, E. I. Lashin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402101 |
| URL | https://arxiv.org/abs/quant-ph/0402101 |
| DOI | 10.1088/0305-4470/38/30/012 |
| Journal | J.Phys.A38:6785-6792,2005 |
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.
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"abstract": "A numerical method of high precision is used to calculate the energy\neigenvalues and eigenfunctions for a symmetric double-well potential. The\nmethod is based on enclosing the system within two infinite walls with a large\nbut finite separation and developing a power series solution for the\nSchr$\\ddot{o}$dinger equation. The obtained numerical results are compared with\nthose obtained on the basis of the Zinn-Justin conjecture and found to be in an\nexcellent agreement.",
"arxiv_id": "quant-ph/0402101",
"authors": [
"H. A. Alhendi",
"E. I. Lashin"
],
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"quant-ph",
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"doi": "10.1088/0305-4470/38/30/012",
"journal_ref": "J.Phys.A38:6785-6792,2005",
"title": "High-Precision Numerical Determination of Eigenvalues for a Double-Well Potential Related to the Zinn-Justin Conjecture",
"url": "https://arxiv.org/abs/quant-ph/0402101"
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