Symplectic Microgeometry Ii: Generating Functions

نویسندگان

  • ALBERTO S. CATTANEO
  • BENOIT DHERIN
  • ALAN WEINSTEIN
چکیده

We adapt the notion of generating functions for lagrangian submanifolds to symplectic microgeometry. We show that a symplectic micromorphism always admits a global generating function. As an application, we describe hamiltonian flows as special symplectic micromorphisms whose local generating functions are the solutions of Hamilton-Jacobi equations. We obtain a purely categorical formulation of the temporal evolution in classical mechanics.

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تاریخ انتشار 2011