dorsal/arxiv
View SchemaComment on ``Boson-realization model for the vibrational spectra of tetrahedral molecules''
| Authors | R. Lemus, F. Perez-Bernal, A. Frank, R. Bijker, J. M. Arias |
|---|---|
| Categories | |
| ArXiv ID | physics/9702004 |
| URL | https://arxiv.org/abs/physics/9702004 |
| DOI | 10.1103/PhysRevA.56.4337 |
| Journal | Phys. Rev. A 56 (1997) 4337-4340 |
Abstract
An algebraic model in terms of a local harmonic boson realization was recently proposed to study molecular vibrational spectra [Zhong-Qi Ma et al., Phys. Rev. A 53, 2173 (1996)]. Because of the local nature of the bosons the model has to deal with spurious degrees of freedom. An approach to eliminate the latter from both the Hamiltonian and the basis was suggested. We show that this procedure does not remove all spurious components from the Hamiltonian and leads to a restricted set of interactions. We then propose a scheme in which the physical Hamiltonian can be systematically constructed up to any order without the need of imposing conditions on its matrix elements. In addition, we show that this scheme corresponds to the harmonic limit of a symmetry adapted algebraic approach based on U(2) algebras.
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"abstract": "An algebraic model in terms of a local harmonic boson realization was\nrecently proposed to study molecular vibrational spectra [Zhong-Qi Ma et al.,\nPhys. Rev. A 53, 2173 (1996)]. Because of the local nature of the bosons the\nmodel has to deal with spurious degrees of freedom. An approach to eliminate\nthe latter from both the Hamiltonian and the basis was suggested. We show that\nthis procedure does not remove all spurious components from the Hamiltonian and\nleads to a restricted set of interactions. We then propose a scheme in which\nthe physical Hamiltonian can be systematically constructed up to any order\nwithout the need of imposing conditions on its matrix elements. In addition, we\nshow that this scheme corresponds to the harmonic limit of a symmetry adapted\nalgebraic approach based on U(2) algebras.",
"arxiv_id": "physics/9702004",
"authors": [
"R. Lemus",
"F. Perez-Bernal",
"A. Frank",
"R. Bijker",
"J. M. Arias"
],
"categories": [
"physics.chem-ph"
],
"doi": "10.1103/PhysRevA.56.4337",
"journal_ref": "Phys. Rev. A 56 (1997) 4337-4340",
"title": "Comment on ``Boson-realization model for the vibrational spectra of tetrahedral molecules\u0027\u0027",
"url": "https://arxiv.org/abs/physics/9702004"
},
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