Algebraic Approach to Vibrational Excitations in an Anharmonic Linear Chain

  • R. Lemus
  • A. Frank


A description of vibrational excitations in one-dimensional monoatomic and diatomic Bravais lattices is presented by means of an algebraic model of n-coupled anharmonic oscillators. The anharmonic interaction corresponds to a Morse-like potential. The energy expression E(k) for one-phonon excitations is obtained analytically in both cases. In addition, we present numerical results for two-phonons.


Algebraic Model Vibrational Excitation Morse Potential Casimir Operator Bravais Lattice 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • R. Lemus
    • 1
  • A. Frank
    • 2
  1. 1.Instituto de Ciencias NuclearesUNAMMéxico
  2. 2.Departamento de Física Atómica, Molecular y Nuclear Facultad de FísicaUniversidad de SevillaSevillaEspaña

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