Comment on ``Boson-realization model for the vibrational spectra of tetrahedral molecules''

Details Comment on ``Boson-realization model for the vibrational spectra of tetrahedral molecules'' Comment on ``Boson-realization model for the vibrational spectra of tetrahedral molecules''

1997-02-03

arxiv.org/abs/physics/9702004v1

Phys. Rev. A 56 (1997) 4337-4340

Physics

Chemical Physics

9 pages Revtex, submitted February 1997

Scientific paper

10.1103/PhysRevA.56.4337

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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