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Revisiting the quantum group symmetry of diatomic molecules

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Abstract.

We propose a q-deformed model of anharmonic vibrations in diatomic molecules. We study the applicability of the model to the phenomenological Dunham expansion by comparison with experimental data. In contrast with other applications where it is difficult to find a physical interpretation for the deformation parameter, q, in our analysis it is directly related to the third-order coefficient in the Dunham expansion. We study the consistency of the parameters that determine the q-deformed system by comparing them with the vibrational terms fitted to 161 electronic states of diatomic molecules. We show how to include both positive and negative anharmonicities in a simple and systematic way.

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Authors and Affiliations

  1. School of Informatics, Northumbria University, NE1 8ST, Newcastle-upon-Tyne, UK

    M. N. Angelova & V. K. Dobrev

  2. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 1784, Sofia, Bulgaria

    V. K. Dobrev

  3. Instituto de Ciencias Nucleares and Centro de Ciencias Físicas, Universidad National Autónoma de México, Apartado Postal 70-543, 04510, Mexico, D.F., Mexico

    A. Frank

Authors
  1. M. N. Angelova
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  2. V. K. Dobrev
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  3. A. Frank
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Corresponding author

Correspondence to M. N. Angelova.

Additional information

Received: 16 July 2004, Published online: 24 August 2004

PACS:

33.15.Mt Rotation, vibration, and vibration-rotation constants - 02.20.Uw Quantum groups - 31.15.Hz Group theory - 03.65.Fd Algebraic methods - 02.20.-a Group theory

V.K. Dobrev: Permanent address, and after 30 April 2004: Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 1784, Sofia, Bulgaria

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Angelova, M.N., Dobrev, V.K. & Frank, A. Revisiting the quantum group symmetry of diatomic molecules. Eur. Phys. J. D 31, 27–37 (2004). https://doi.org/10.1140/epjd/e2004-00111-6

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  • DOI: https://doi.org/10.1140/epjd/e2004-00111-6

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