The Group of Hamiltonian Symplectomorphisms

Part of the Pseudo-Differential Operators book series (PDO, volume 7)


Symplectic diffeomorphisms, or symplectomorphisms as they are often called, are the “canonical transformations” which have been known and used by physicists for a long time. They generalize the linear (and affine) symplectic mappings we have been using so far. A basic reference for this chapter is Polterovich [133].


Normal Subgroup Symplectic Form Hamiltonian Function Canonical Transformation Exponential Mapping 


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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Faculty of Mathematics, NuHAGUniversity of ViennaViennaAustria

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