Intrinsic and collective structure of an algebraic model of molecular rotation-vibration spectra

Amiram Leviatan*, Michael W. Kirson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

55 Scopus citations

Abstract

A geometrical framework is provided for a recently proposed interacting boson model of molecular rotation-vibration spectra. An intrinsic state is defined by way of a boson condensate parametrized in terms of shape variables and is used to generate an energy surface. The global minimum of the energy surface determines an equilibrium condensate which serves as the basis for an exact separation of the Hamiltonian into intrinsic and collective parts. A Bogoliubov treatment of the intrinsic part produces, in leading order, the normal modes of vibration and their frequencies, the collective degrees of freedom being represented by zero-frequency Goldstone modes associated with spontaneous symmetry breaking in the condensate. The method is very useful in interpreting numerical results of the algebraic model, in identifying the capabilities and inadequacies of the Hamiltonian, and in constructing appropriate algebraic Hamiltonians for specific molecules.

Original languageAmerican English
Pages (from-to)142-185
Number of pages44
JournalAnnals of Physics
Volume188
Issue number1
DOIs
StatePublished - 15 Nov 1988
Externally publishedYes

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