Discrete Hamilton-Pontryagin mechanics and generating functions on Lie groupoids

Details Discrete Hamilton-Pontryagin mechanics and generating functions on Lie groupoids Discrete Hamilton-Pontryagin mechanics and generating functions on Lie groupoids

2009-05-27

arxiv.org/abs/0905.4318v2

J. Symplectic Geom., 8 (2), 225-238, 2010

Mathematics

Symplectic Geometry

14 pages; minor revision of section 2.3 to provide more background; major revision of sections 3-4 to allow for several time s

Scientific paper

We present a discrete analog of the recently introduced Hamilton-Pontryagin variational principle in Lagrangian mechanics. This unifies two, previously disparate approaches to discrete Lagrangian mechanics: either using the discrete Lagrangian to define a finite version of Hamilton's action principle, or treating it as a symplectic generating function. This is demonstrated for a discrete Lagrangian defined on an arbitrary Lie groupoid; the often encountered special case of the pair groupoid (or Cartesian square) is also given as a worked example.

Affiliated with

Also associated with

No associations

Rating

Discrete Hamilton-Pontryagin mechanics and generating functions on Lie groupoids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discrete Hamilton-Pontryagin mechanics and generating functions on Lie groupoids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete Hamilton-Pontryagin mechanics and generating functions on Lie groupoids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526974