Nonadiabatic couplings and incipience of quantum chaos

Details Nonadiabatic couplings and incipience of quantum chaos Nonadiabatic couplings and incipience of quantum chaos

1996-01-19

arxiv.org/abs/chao-dyn/9601014v1

Z. Phys. B 101 (1996) 299-304

Nonlinear Sciences

Chaotic Dynamics

16 pages including figures

Scientific paper

10.1007/s002570050212

The quantization of the electronic two site system interacting with a vibration is considered by using as the integrable reference system the decoupled oscillators resulting from the adiabatic approximation. A specific Bloch projection method is applied which demonstrates how besides some regular regions in the fine structure of the spectrum and the associated eigenvectors irregularities appear when passing from the low to the high coupling case. At the same time even for strong coupling some of the regular structure of the spectrum rooted in the adiabatic potentials is kept intact justifying the classification of this situation as incipience of quantum chaos.

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