Atomic analogs of local and normal modes: The hydrogen atom in a generalized van der Waals potential
- 1 April 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 47 (4) , 3137-3150
- https://doi.org/10.1103/physreva.47.3137
Abstract
The connection between the hydrogen atom in a generalized van der Waals potential and the notion of local and normal modes is investigated analytically and numerically. It is found that the dynamics in the hydrogenic case can be classified as local, normal, or precessional normal in a similar way to the spectroscopic description of degenerate vibrational states of a molecule. Semiclassical quantization of the system is discussed.Keywords
This publication has 32 references indexed in Scilit:
- Electronic structure of Rydberg atoms in parallel electric and magnetic fieldsPhysical Review A, 1992
- Semiclassical mechanics of the quadratic Zeeman effectPhysical Review A, 1992
- Depicting the intramolecular dynamics of formaldehydeJournal of the Optical Society of America B, 1990
- Reply to ‘‘Comment on: ‘Semiclassical phase space evolution of Fermi resonance spectra’ ’’The Journal of Chemical Physics, 1988
- Comment on: ‘‘Semiclassical phase space evolution of Fermi resonance spectra’’The Journal of Chemical Physics, 1988
- Lie algebraic approach to quantization of nonseparable systems with internal nonlinear resonanceThe Journal of Chemical Physics, 1986
- The symmetry group of the harmonic oscillator and its reductionJournal of Mathematical Physics, 1982
- On a ‘‘conformal’’ Kepler problem and its reductionJournal of Mathematical Physics, 1981
- The three-dimensional hydrogen atom as a restricted four-dimensional harmonic oscillatorPhysica, 1973
- Perturbation theory of Kepler motion based on spinor regularization.Journal für die reine und angewandte Mathematik (Crelles Journal), 1965