Not-quite-Hamiltonian reduction
Larry Bates, Jedrzej Sniatycki
TL;DR
This paper introduces a not-quite-Hamiltonian framework for singular reduction and reconstruction, expanding on regular and collective Hamiltonian methods to handle more complex systems.
Contribution
It presents a novel approach to Hamiltonian reduction that encompasses singular cases and collective methods, broadening the scope of Hamiltonian system analysis.
Findings
Develops a not-quite-Hamiltonian reduction theory
Describes regular and collective Hamiltonian reduction
Provides a framework for singular reduction and reconstruction
Abstract
The not-quite-Hamiltonian theory of singular reduction and reconstruction is described. This includes the notions of both regular and collective Hamiltonian reduction and reconstruction.
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