https://doi.org/10.1140/epjd/e2006-00155-6
A method based on a nonlinear generalized Heisenberg algebra to study the molecular vibrational spectrum
1
Centro Brasileiro de Pesquisas Físicas, 22290-180 Rio de Janeiro -, RJ, Brazil
2
Departamento de Física, Universidade Federal de Viçosa, Viçosa, 36570-000 MG, Brazil
Corresponding author: a jeferson@cbpf.br
Received:
30
December
2005
Revised:
12
May
2006
Published online:
30
June
2006
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 [1], for the first experimental levels. The dissociation energy obtained here is more accurate than all previous models.
PACS: 33.20.Tp – Vibrational analysis / 02.20.Uw – Quantum groups / 03.65.Fd – Algebraic methods / 32.30.Bv – Radio-frequency, microwave, and infrared spectra
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
