Afriat, Alexander (2006) Cartesian and Lagrangian momentum. [Preprint]

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Abstract

Historical, physical and geometrical relations between two different momenta, characterized here as Cartesian and Lagrangian, are explored. Cartesian momentum is determined by the mass tensor, and gives rise to a kinematical geometry. Lagrangian momentum, which is more general, is given by the fiber derivative, and produces a dynamical geometry. This differs from the kinematical in the presence of a velocity-dependent potential. The relation between trajectories and level surfaces in Hamilton-Jacobi theory can also be Cartesian and kinematical or, more generally, Lagrangian and dynamical.

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Item Type:	Preprint
Creators:	Creators Email ORCID Afriat, Alexander
Subjects:	Specific Sciences > Physics > Classical Physics
Depositing User:	Alexander Afriat
Date Deposited:	11 Nov 2006
Last Modified:	07 Oct 2010 15:14
Item ID:	3040
Subjects:	Specific Sciences > Physics > Classical Physics
Date:	November 2006
URI:	https://philsci-archive.pitt.edu/id/eprint/3040

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• Cartesian and Lagrangian momentum. (deposited 06 Apr 2004)
  • Cartesian and Lagrangian momentum. (deposited 11 Nov 2006) [Currently Displayed]

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