Application of the adiabatic approximation to coupled oscillators
- 20 October 1982
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 47 (3) , 713-719
- https://doi.org/10.1080/00268978200100532
Abstract
In this paper we have calculated the eigenvalues and wavefunctions for a coupled oscillator system based on the adiabatic approximation theory. The result is comparable with those of the other methods. The vibrational mode picture provided by the adiabatic approximation is preferable to that of the self-cosistent field method.Keywords
This publication has 17 references indexed in Scilit:
- On the transition from quasiperiodic to stochastic classical motion on real polyatomic potential energy surfacesChemical Physics, 1981
- Time-independent methods in classical mechanics: Calculation of invariant tori and semiclassical energy levels via classical Van Vleck transformationsThe Journal of Chemical Physics, 1979
- Application of SCF-SI theory to vibrational motion in polyatomic moleculesThe Journal of Physical Chemistry, 1979
- Classical perturbation theory of good action-angle variables: Applications to semiclassical eigenvalues and to collisional energy transfer in polyatomic moleculesThe Journal of Physical Chemistry, 1979
- A method for determining “good” action-angle variables and semiclassical eigenvalues in nonseparable systemsChemical Physics, 1978
- Semiclassical calculation of energy levels for non-separable systemsChemical Physics Letters, 1977
- Semiclassical eigenvalues for non-separable bound systems from classical trajectories: The degenerate caseMolecular Physics, 1976
- Semiclassical eigenvalues for nonseparable systems: Nonperturbative solution of the Hamilton–Jacobi equation in action-angle variablesThe Journal of Chemical Physics, 1976
- Vibrational quantization of polyatomic moleculesMolecular Physics, 1976
- Semiclassical calculation of bound states of a multidimensional systemThe Journal of Chemical Physics, 1974