We study the classical and quantum mechanics of the 3-mode Baggot vibrational Hamiltonian for H20. Chirikov resonance analysis gives an approximate view of the classical phase space structure. Computation of periodic orbits and families of resonant 2-tori provides a more rigorous basis for the use o
Assigning vibrational spectra of chaotic molecules
β Scribed by Zi-Min Lu; Michael E. Kellman
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 626 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
A method is presented for detailed level-by-level approximate quantum number assignment and spectral pattern organization for a molecular Hamiltonian with a mixture of regular and chaotic classical dynamics. The large-scale bifurcation structure is determined for a spectroscopic Hamiltonian for H20. A Husimi transform method is used to assign approximate quantum numbers to the levels, and the spectrum is grouped into regular patterns. Pronounced spectral reorganization is observed in the region of most highly chaotic dynamics.
π SIMILAR VOLUMES
We study the statistical properties of vibrational motion of a highly excited polyatomic molecule. To analyze the chaotic dynamics of a molecule with s degrees of freedom, we use a numerical calculation of the complete spectrum of the Lyapunov characteristic exponents A,(i = 1,. . ., s -1) which det
Density distribution of the discrete spectrum of a Hamiltonian which represents a system of N-coupled oscillators and, hence may describe molecular vibrations in the local mode approximation, is analyzed. The spectral density moments are expressed as linear combinations of products of coefficients w