Article
Comment on “Boson-realization model for the vibrational spectra of tetrahedral molecules”
Author/s | Lemus Casillas, Renato
Pérez Bernal, Francisco Frank, Alejandro Bijker, R. Arias Carrasco, José Miguel |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 1997 |
Deposit Date | 2019-04-08 |
Published in |
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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 ... 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. |
Project ID. | CI1*-CT94-0072
IN105194 400340-5-3401E PB95-0533 |
Citation | Lemus Casillas, R., Pérez Bernal, F., Frank, A., Bijker, R. y Arias Carrasco, J.M. (1997). Comment on “Boson-realization model for the vibrational spectra of tetrahedral molecules”. Physical Review A - Atomic, Molecular, and Optical Physics, 56 (5), 4337-4340. |
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