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Tunneling and the Band Structure of Chaotic Systems
Leboeuf Patricio 1, Amaury Mouchet 2
Physical Review Letters 73 (1994) 1360
We compute the dispersion laws of chaotic periodic systems using the semiclassical periodic orbit theory to approximate the trace of the powers of the evolution operator. Aside from the usual real trajectories, we also include complex orbits. These turn out to be fundamental for a proper description of the band structure since they incorporate conduction processes through tunneling mechanisms. The results obtained, illustrated with the kicked-Harper model, are in excellent agreement with numerical simulations, even in the extreme quantum regime.
- 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), CNRS : UMR8626 – Université Paris XI - Paris Sud
- 2. Laboratoire de Mathématiques et Physique Théorique (LMPT), CNRS : UMR6083 – Université François Rabelais - Tours
New evidence of GOE statistics for compound nuclear resonances
M. Lombardi 1 O. Bohigas 2, 3 T. H. Seligman 3, 4
Physics Letters B, Elsevier, 1994, 324, pp.263-266. <10.1016/0370-2693(94)90191-0>
New statistical measures are applied to the previously compiled nuclear data ensemble in order to further test energy level fluctuations as well as the absence of correlations between levels and intensities. Data are found to be consistent with the predictions of the Wigner-Dyson random matrix model.
- 1. LSP - Laboratoire de Spectrométrie Physique
- 2. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
- 3. Wissenschaftskolleg zu Berlin
- 4. Laboratorio de Cuernavaca