dorsal/arxiv
View SchemaThe Canonical Function Method and its applications in Quantum Physics
| Authors | C. Tannous, K. Fakhreddine, J. Langlois |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702110 |
| URL | https://arxiv.org/abs/quant-ph/0702110 |
| DOI | 10.1016/j.physrep.2008.07.001 |
Abstract
The Canonical Function Method (CFM) is a powerful method that solves the radial Schr\"{o}dinger equation for the eigenvalues directly without having to evaluate the eigenfunctions. It is applied to various quantum mechanical problems in Atomic and Molecular physics with presence of regular or singular potentials. It has also been developed to handle single and multiple channel scattering problems where the phaseshift is required for the evaluation of the scattering cross-section. Its controllable accuracy makes it a valuable tool for the evaluation of vibrational levels of cold molecules, a sensitive test of Bohr correspondance principle and a powerful method to tackle local and non-local spin dependent problems.
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"abstract": "The Canonical Function Method (CFM) is a powerful method that solves the\nradial Schr\\\"{o}dinger equation for the eigenvalues directly without having to\nevaluate the eigenfunctions. It is applied to various quantum mechanical\nproblems in Atomic and Molecular physics with presence of regular or singular\npotentials. It has also been developed to handle single and multiple channel\nscattering problems where the phaseshift is required for the evaluation of the\nscattering cross-section. Its controllable accuracy makes it a valuable tool\nfor the evaluation of vibrational levels of cold molecules, a sensitive test of\nBohr correspondance principle and a powerful method to tackle local and\nnon-local spin dependent problems.",
"arxiv_id": "quant-ph/0702110",
"authors": [
"C. Tannous",
"K. Fakhreddine",
"J. Langlois"
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"quant-ph"
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"doi": "10.1016/j.physrep.2008.07.001",
"title": "The Canonical Function Method and its applications in Quantum Physics",
"url": "https://arxiv.org/abs/quant-ph/0702110"
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