On quantum averaging, quantum KAM, and quantum diffusion

S. B. Kuksin ; A. I. Neishtadt

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 68 (2013) no. 2, pp. 335-348

Résumé

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.

Détail

Keywords: infinite-dimensional KAM theory, quantum adiabatic theorem.
Mots-clés : quantum diffusion

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