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A Comparison Between Algebraic Models of Molecular Spectroscopy

In: Symmetries in Science X

Author

Listed:
  • R. Bijker

    (U.N.A.M., Instituto de Ciencias Nucleares)

  • A. Frank

    (U.N.A.M., Instituto de Ciencias Nucleares
    Laboratorio de Cuernavaca, Instituto de Física)

  • R. Lemus

    (U.N.A.M., Instituto de Ciencias Nucleares)

  • J. M. Arias

    (Universidad de Sevilla, Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física)

  • F. Pérez-Bernal

    (Universidad de Sevilla, Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física)

Abstract

We discuss a symmetry-adapted algebraic (or vibron) model for molecular spec-troscopy. The model is formulated in terms of tensor operators under the molecular point group. In this way, we have identified interactions that are absent in previous versions of the vibron model, in which the Hamiltonian is expressed in terms of Casimir operators and their products. The inclusion of these new interactions leads to reliable spectroscopic predictions. As an example we study the vibrational excitations of the methane molecule, and compare our results with those obtained in other algebraic models.

Suggested Citation

  • R. Bijker & A. Frank & R. Lemus & J. M. Arias & F. Pérez-Bernal, 1998. "A Comparison Between Algebraic Models of Molecular Spectroscopy," Springer Books, in: Bruno Gruber & Michael Ramek (ed.), Symmetries in Science X, pages 37-46, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1537-5_2
    DOI: 10.1007/978-1-4899-1537-5_2
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