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On the Structure of Classical Mechanics
classical mechanics structure Lagrangian mechanics Hamiltonian mechanics statespace
2016/6/12
Jill North (North, 2009) has recently argued that Hamiltonian mechanics ascribes less structure to the world than Lagrangian mechanics does. I will argue that North's argument is not sound. In doing s...
Classical Mechanics Is Lagrangian; It Is Not Hamiltonian; The Semantics of Physical Theory Is Not Semantical
classical mechanics Lagrangian mechanics Hamiltonian mechanics
2009/11/18
One can (for the most part) formulate a model of a classical system
in either the Lagrangian or the Hamiltonian framework. Though it is
often thought that those two formulations are equivalent in al...
On Symmetry and Conserved Quantities in Classical Mechanics
classical mechanics symmetry conserved quantities
2008/4/22
This paper expounds the relations between continuous symmetries and conserved quantities, i.e. Noether's ``first theorem'', in both the Lagrangian and Hamiltonian frameworks for classical mechanics. T...
This paper expounds the modern theory of symplectic reduction in finite-dimensional Hamiltonian mechanics. This theory generalizes the well-known connection between continuous symmetries and conserved...
The implications for the substantivalist--relationist controversy of Barbour and Bertotti's successful implementation of a Machian approach to dynamics are investigated. It is argued that in the conte...