In the present paper, we present a new method for integrating the ordinary differential equation, especially for the ordinary differential equation derived from explicitly time-dependent generalized Hamiltonian dynamic system, which is based on taking a factorization of the evolution operator as an
Semiclassical perturbation method based on the lie transform for multidimensional systems
β Scribed by Subhash Saini
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 570 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
A semiclassical perturbation method based on the Lie transform is used to calculate vibrational energy levels for multidimensional systems. No trajectories, initial searches, iterative procedures, Fourier analyses, or reference Hamiltonian searches are needed and the results are in good agreement with Einstein-Brillouin-Keller based methods.
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