6533b7d6fe1ef96bd1266cd4

RESEARCH PRODUCT

Vibrational Spectra of Polyatomic Molecules through an Algebraic Approach

F. MichelotJ. Moret-baillyClaude Leroy

subject

Vibrational Spectra. Algebraic Approach.[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]Vibrational Spectra. Algebraic Approach[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]

description

The study of molecular oscillators may be performed with algebraic methods based upon dynamical chains and their realization in terms of boson operators. From the dynamical algebra U(p+1) for p equivalent oscillators, associated with stretching modes, the local, pseudo-normal and normal limits are obtained through appropriate subgroup chains and various realizations of the U(p+1) generators. Similar technics can be applied to bending modes. Application to XY4 molecules will be presented.

https://hal.archives-ouvertes.fr/hal-00461899