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Semiclassical quantization of nonadiabatic systems with hopping periodic orbits.
- Source :
-
Journal of Chemical Physics . 2015, Vol. 142 Issue 7, p1-10. 10p. 3 Diagrams, 2 Graphs. - Publication Year :
- 2015
-
Abstract
- We present a semiclassical quantization condition, i.e., quantum-classical correspondence, for steady states of nonadiabatic systems consisting of fast and slow degrees of freedom (DOFs) by extending Gutzwiller's trace formula to a nonadiabatic form. The quantum-classical correspondence indicates that a set of primitive hopping periodic orbits, which are invariant under time evolution in the phase space of the slow DOF, should be quantized. The semiclassical quantization is then applied to a simple nonadiabatic model and accurately reproduces exact quantum energy levels. In addition to the semiclassical quantization condition, we also discuss chaotic dynamics involved in the classical limit of nonadiabatic dynamics. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00219606
- Volume :
- 142
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Chemical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 101117332
- Full Text :
- https://doi.org/10.1063/1.4907910