dorsal/arxiv
View SchemaA Method Based on a Nonlinear Generalized Heisenberg Algebra to Study the Molecular Vibrational Spectrum
| Authors | J. de Souza, N. M. Oliveira-Neto, C. I. Ribeiro-Silva |
|---|---|
| Categories | |
| ArXiv ID | physics/0512251 |
| URL | https://arxiv.org/abs/physics/0512251 |
| DOI | 10.1140/epjd/e2006-00155-6 |
Abstract
We propose a method, based on a Generalized Heisenberg Algebra (GHA), to reproduce the anharmonic spectrum of diatomic molecules. The theoretical spectrum generated by GHA allows us to fit the experimental data and to obtain the dissociation energy for the carbon monoxide molecule. Our outcomes are more accurate than the standard models used to study molecular vibrations, namely the Morse and the $q$-oscillator models and comparable to the perturbed Morse model proposed by Huffaker \cite{hf}, for the first experimental levels. The dissociation energy obtained here is more accurate than all previous models.
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"abstract": "We propose a method, based on a Generalized Heisenberg Algebra (GHA), to\nreproduce the anharmonic spectrum of diatomic molecules. The theoretical\nspectrum generated by GHA allows us to fit the experimental data and to obtain\nthe dissociation energy for the carbon monoxide molecule. Our outcomes are more\naccurate than the standard models used to study molecular vibrations, namely\nthe Morse and the $q$-oscillator models and comparable to the perturbed Morse\nmodel proposed by Huffaker \\cite{hf}, for the first experimental levels. The\ndissociation energy obtained here is more accurate than all previous models.",
"arxiv_id": "physics/0512251",
"authors": [
"J. de Souza",
"N. M. Oliveira-Neto",
"C. I. Ribeiro-Silva"
],
"categories": [
"physics.chem-ph"
],
"doi": "10.1140/epjd/e2006-00155-6",
"title": "A Method Based on a Nonlinear Generalized Heisenberg Algebra to Study the Molecular Vibrational Spectrum",
"url": "https://arxiv.org/abs/physics/0512251"
},
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