Algebraic approach to molecular rotation-vibration spectra. I. Diatomic molecules
Open Access
- 15 September 1982
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 77 (6) , 3046-3055
- https://doi.org/10.1063/1.444228
Abstract
An algebraic approach to molecular rotation‐vibration spectra, similar to that used in the analysis of nuclear rotation‐vibration spectra, is suggested. The spectrum generating algebra appropriate to diatomic molecules U(4) is constructed. Its two dynamical symmetries O(4) and U(3) are discussed and their relation to rigid and nonrigid structures is investigated. It is shown how other properties, such as intensities of dipole radiation and state‐to‐state excitation probabilities, can be evaluated.Keywords
This publication has 16 references indexed in Scilit:
- Properties of a generalized pseudo-spin system: Application of the time dependent mean field method to and SU(4) invariant hamiltonianAnnals of Physics, 1982
- A dynamic algebra for rotation-vibration spectra of complex moleculesChemical Physics Letters, 1982
- The Information Theoretic Approach to Intramolecular DynamicsAdvances in Chemical Physics, 1981
- Information Theory Approach to Molecular Reaction DynamicsAnnual Review of Physical Chemistry, 1978
- Collective Nuclear States as Representations of a SU(6) GroupPhysical Review Letters, 1975
- The hydrogen atom as a relativistic elementary particle. II. Relativistic scattering problems and photo-effectJournal of Physics B: Atomic and Molecular Physics, 1973
- Algebraic Calculation of Nonrelativistic Coulomb Phase ShiftsJournal of Mathematical Physics, 1967
- Calculated Spectrum of Quasibound States for H2(1Σg+) and Resonances in H + H ScatteringThe Journal of Chemical Physics, 1967
- Long-Range Interatomic Forces from Predissociation Data and Resonances in Atomic ScatteringPhysical Review Letters, 1966
- The Energy Levels of a Rotating VibratorPhysical Review B, 1932