Quantum Transport on KAM Tori

Asch J, Knauf A (1999)


Publication Type: Journal article, Original article

Publication year: 1999

Journal

Publisher: Springer Verlag (Germany)

Book Volume: 205

Pages Range: 113-128

DOI: 10.1007/s002200050670

Abstract

Although quantum tunneling between phase space tori occurs, it is suppressed in the semiclassical limit ℏ ↘ 0 for the Schrödinger equation of a particle in ℝd 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 O(1/√E).

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How to cite

APA:

Asch, J., & Knauf, A. (1999). Quantum Transport on KAM Tori. Communications in Mathematical Physics, 205, 113-128. https://dx.doi.org/10.1007/s002200050670

MLA:

Asch, Joachim, and Andreas Knauf. "Quantum Transport on KAM Tori." Communications in Mathematical Physics 205 (1999): 113-128.

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