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Cartesian and Lagrangian momentum

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
    Subjects: Specific Sciences > Physics > Classical Physics
    Depositing User: Alexander Afriat
    Date Deposited: 11 Nov 2006
    Last Modified: 07 Oct 2010 11:14
    Item ID: 3040
    URI: http://philsci-archive.pitt.edu/id/eprint/3040

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