Quantum transport on KAM tori

Joachim Asch and Andreas Knauf

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Submission date: 01. Dec. 1998
Pages: 23
published in: Communications in mathematical physics, 205 (1999) 1, p. 113-128 
DOI number (of the published article): 10.1007/s002200050670
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Abstract:
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 .