Quantum transport on KAM tori
Joachim Asch and Andreas Knauf
Contact the author: Please use for correspondence this email.
Submission date: 01. Dec. 1998
published in: Communications in mathematical physics, 205 (1999) 1, p. 113-128
DOI number (of the published article): 10.1007/s002200050670
Download full preprint: PDF (397 kB), PS ziped (173 kB)
Although quantum tunneling between phase space tori occurs, it is suppressed in the semiclassical limit for the Schrödinger equation of a particle in 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 .