Geodesic
On quantum averaging, quantum~KAM, and quantum diffusion
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 68 (2013) no. 2, pp. 335-348

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For non-autonomous Hamiltonian systems and their quantizations this paper discusses properties of the quantized systems whose classical analogues constitute the subject of KAM theory and related areas: averaging theory, Nekhoroshev stability, and diffusion. Bibliography: 31 titles.
Keywords: infinite-dimensional KAM theory, quantum adiabatic theorem.
Mots-clés : quantum diffusion 
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     title = {On quantum averaging, {quantum~KAM,} and quantum diffusion},
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S. B. Kuksin; A. I. Neishtadt. On quantum averaging, quantum~KAM, and quantum diffusion. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 68 (2013) no. 2, pp. 335-348. http://geodesic.mathdoc.fr/item/RM_2013_68_2_a3/