Quantum Transport on KAM Tori
Asch, Joachim ; Knauf, Andreas
arXiv, 9812006 / Harvested from arXiv
Text on arXiv
Although quantum tunneling between phase space tori occurs, it is suppressed in the semiclassical limit $\hbar\searrow 0$ for the Schr\"{o}dinger equation of a particle in $\bR^d$ under the influence of a smooth periodic potential. In particular this implies that the distribution of quantum group velocities near energy $E$ converges to the distribution of the classical asymptotic velocities near $E$, up to a term of the order $\cO(1/\sqrt{E})$.
Publié le : 1998-12-09
Classification:  Mathematical Physics,  Condensed Matter,  Mathematics - Dynamical Systems 
@article{9812006,
     author = {Asch, Joachim and Knauf, Andreas},
     title = {Quantum Transport on KAM Tori},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812006}
}

Asch, Joachim; Knauf, Andreas. Quantum Transport on KAM Tori. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812006/