On quantum averaging, quantum KAM and quantum diffusion
classification
🧮 math.DS
math.APnlin.CD
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quantumsystemsaveragingdiffusionclassicalcorrespondingdescribeddiscuss
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For nonautonomous Hamiltonian systems and their quantisations we discuss properties of the quantised systems, related to those of the corresponding classical systems, described by the KAM-related theories: the proper KAM, the averaging theory, the Nekhoroshev stability and the diffusion.
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