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RESEARCH PRODUCT
Algebraic Treatment of a Three-Oscillator System: Applications to Some Molecular Models
F. MichelotV. Boujutsubject
PhysicsAnnihilationMolecular modelDegenerate energy levelsDiatomic moleculeAtomic and Molecular Physics and OpticsTheoretical physicsQuantum mechanicsStandard basisTetrahedronPhysics::Chemical PhysicsPhysical and Theoretical ChemistryAlgebraic numberSpectroscopyBosondescription
Abstract A new algebraic treatment of a three-oscillator system, called 3d formalism, is proposed. First, arbitrary tensor operators, expressed in terms of elementary creation and annihilation boson operators, are built within the standard algebraic chain u (3) ⊃ so (3) ⊃ so (2). Their matrix elements are next derived in a standard basis. Some applications, which require few adaptions or extensions, are proposed. They allow one to recover, for instance, Hecht's and tetrahedral Hamiltonians associated with threefold degenerate modes of spherical molecules and the vibron model Hamiltonian introduced for diatomic molecules.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-08-01 | Journal of Molecular Spectroscopy |