A Geometric Setting for Hamiltonian Perturbation Theory

Released on by Anthony D. Blaom
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  • A Geometric Setting for Hamiltonian Perturbation Theory Book Detail

  • Author : Anthony D. Blaom
  • Release Date : 2001
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 137
  • ISBN 13 : 0821827200
  • File Size : 85,85 MB
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A Geometric Setting for Hamiltonian Perturbation Theory by Anthony D. Blaom PDF Summary

Book Description: In this text, the perturbation theory of non-commutatively integrable systems is revisited from the point of view of non-Abelian symmetry groups. Using a co-ordinate system intrinsic to the geometry of the symmetry, the book generalizes and geometrizes well-known estimates of Nekhoroshev (1977), in a class of systems having almost $G$-invariant Hamiltonians. These estimates are shown to have a natural interpretation in terms of momentum maps and co-adjoint orbits. The geometric framework adopted is described explicitly in examples, including the Euler-Poinsot rigid body.

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Geometric Perturbation Theory In Physics

Geometric Perturbation Theory In Physics

File Size : 15,15 MB
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This book which focusses on mechanics, waves and statistics, describes recent developments in the application of differential geometry, particularly symplectic