Titlebook: Quantum Signatures of Chaos; Fritz Haake Book 20103rd edition Springer-Verlag Berlin Heidelberg 2010 Chaos.Clustering.classical Hamiltonia

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Level Clustering,Here I propose to cosnsider classical autonomous systems with . degrees of freedom and 2 . pairs of canonical variables . ., . .. We shall meet with invariant tori, caustics, and Maslov indices and proceed to the semiclassical torus quantization à la . and . (EBK) and its modern variant, a periodic-orbit theory.

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Level Dynamics,As . discovered [1], the fate of the eigenvalues and eigenvectors of a Hamiltonian . = . . +λ. upon variation of λ can be described by a set of ordinary firstorder differential equations. That set was interpreted by . [2, 3] as Hamilton’s equations for fictitious classical particles moving in one dimension as the “time” λ elapses.

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Fritz HaakeFully updated and expanded 3rd edition of a now classic text..Presents new material on classical Hamiltonian chaos to make the presentation of all semi-classical developments self-contained..Provides

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the impact of utilization processes. Part of this knowledge is already available. The problems are not confined to this part of the world‘s arid lands, but exist equally well elsewhere. Especially over the last decades an ever increasing number of studies have been published dealing with aspects of

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Fritz Haakeources and the impact of utilization processes. Part of this knowledge is already available. The problems are not confined to this part of the world‘s arid lands, but exist equally well elsewhere. Especially over the last decades an ever increasing number of studies have been published dealing with aspects of978-94-009-9624-3978-94-009-9622-9