dorsal/arxiv
View SchemaParametric Potential Determination by the Canonical Function Method
| Authors | C. Tannous, K. Fakhreddine, J. Langlois |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102051 |
| URL | https://arxiv.org/abs/quant-ph/0102051 |
| Journal | J. Phys. IV France, Vol. 9 Pr6-71 (1999) |
Abstract
The canonical function method (CFM) is a powerful means for solving the Radial Schrodinger Equation. The mathematical difficulty of the RSE lies in the fact it is a singular boundary value problem. The CFM turns it into a regular initial value problem and allows the full determination of the spectrum of the Schrodinger operator without calculating the eigenfunctions. Following the parametrisation suggested by Klapisch and Green, Sellin and Zachor we develop a CFM to optimise the potential parameters in order to reproduce the experimental Quantum Defect results for various Rydberg series of He, Ne and Ar as evaluated from Moore's data.
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"abstract": "The canonical function method (CFM) is a powerful means for solving the\nRadial Schrodinger Equation. The mathematical difficulty of the RSE lies in the\nfact it is a singular boundary value problem. The CFM turns it into a regular\ninitial value problem and allows the full determination of the spectrum of the\nSchrodinger operator without calculating the eigenfunctions. Following the\nparametrisation suggested by Klapisch and Green, Sellin and Zachor we develop a\nCFM to optimise the potential parameters in order to reproduce the experimental\nQuantum Defect results for various Rydberg series of He, Ne and Ar as evaluated\nfrom Moore\u0027s data.",
"arxiv_id": "quant-ph/0102051",
"authors": [
"C. Tannous",
"K. Fakhreddine",
"J. Langlois"
],
"categories": [
"quant-ph"
],
"journal_ref": "J. Phys. IV France, Vol. 9 Pr6-71 (1999)",
"title": "Parametric Potential Determination by the Canonical Function Method",
"url": "https://arxiv.org/abs/quant-ph/0102051"
},
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