Topic
Symplectic vector space
About: Symplectic vector space is a research topic. Over the lifetime, 2048 publications have been published within this topic receiving 53456 citations.
Papers published on a yearly basis
Papers
More filters
ENEA1
TL;DR: In this article, a symmetric split operator technique (SSOT) is exploited to obtain naturally symplectic integrators of arbitrarily high order with very little programming effort, which can be applied to charged beam transport and quantum optics.
7 citations
TL;DR: In this paper, a structure theorem for certain kinds of symplectic manifold with a Lagrangian fibration is presented, and the class of cotangent bundles is characterized up to the appropriat equivalence, as the type of manifold considered in the theorem for which a certain cohomology class vanishes.
Abstract: A structure theorem is presented for certain kinds of symplectic manifold with a Lagrangian fibration. As a corollary, the class of cotangent bundles is characterized up to the appropriat equivalence, as the type of symplectic manifold considered in the theorem for which in addition, a certain cohomology class vanishes. These results and techniques are then applied to two situations in classical mechanics where symplectic manifolds foliated by Lagrangian submanifolds arise, namely, the Legendre transformation and Hamilton-Jacobi theory.
7 citations
7 citations
7 citations
7 citations