Computing Casimir invariants from Pfaffian systems
T.W. Yudichak, Benito Hern\'andez-Bermejo, P.J. Morrison
TL;DR
This paper introduces a method for computing Casimir invariants applicable to both finite and infinite-dimensional Poisson brackets, demonstrated through various examples including complex structures.
Contribution
The paper presents a novel, unified approach for calculating Casimir invariants across finite and infinite-dimensional Poisson systems.
Findings
Effective computation of Casimir invariants demonstrated on multiple examples.
Method applicable to complex, mixed finite and infinite-dimensional structures.
Potential for broad application in mathematical physics and dynamical systems.
Abstract
We describe a method for computing Casimir invariants that is applicable to both finite and infinite-dimensional Poisson brackets. We apply the method to various finite and infinite-dimensional examples, including a Poisson bracket embodying both finite and infinite-dimensional structure.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.