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We obtain a global version of the Hamiltonian KAM theorem for invariant Lagrangean tori by glueing together local KAM conjugacies with help of a partition of unity. In this way we find a global Whit-ney smooth conjugacy between a nearly-integrable system and an inte-grable one. This leads to preservation of geometry, which allows us to define all the(More)
In this Preface, we make some brief remarks about the history, theory and applications of symplectic reduction. We concentrate on developments surrounding our paper Marsden and Weinstein [1974] and the closely related work of Meyer [1973], so the reader may find some important references omitted. This is inevitable in a subject that has grown so large and(More)
Four flourescein isothiocyanate (FITC) derivatives of Naja naja siamemsis 3 neurotoxin (alpha-toxin), labeled at the epsilon-amino groups of Lys-23, Lys-35, Lys-49, or Lys-69, and a tetramethylrhodamine isothiocyanate (TRITC) derivative, labeled at epsilon-amino group of Lys-23, were prepared and used to analyze the orientation of cobra alpha-toxin on the(More)
We labeled cobra-alpha-toxin (Naja naja siamensis 3) with near stoichiometric quantities of fluorescein isothiocyanate. To reduce labeling of the hyperreactive N epsilon-lysine 23, the alpha-toxin was modified reversibly with citraconic anhydride before fluorescein labeling. The citraconic anhydride was later removed with strong acid, and four of the six(More)
Based on a recent classification of coadjoint orbits of the full Poincaré group, we give a new group theoretic interpretation for the mass of a classical relativistic particle. In the late nineteen sixties there was some work on the classification of coadjoint orbits of the Poincaré group done in [7] using Wigner's little group method. The thesis(More)
In this Preface, we make some brief remarks about the history, theory and applications of symplectic reduction. We concentrate on developments surrounding our paper Marsden and Weinstein [1974] and the closely related work of Meyer [1973], so the reader may find some important references omitted. This is inevitable in a subject that has grown so large and(More)