Special Mechanical Systems

Part of the Theoretical and Mathematical Physics book series (TMP)


In this chapter we adhere systematically to the convention of denoting and writing the Lagrangian functions that we shall meet as L (, x, t) or L (, x) or L (̇q, q, t), rather than as functions of generic variables α, β, t: the notation is obviously improper since in such cases the variables and x are not Cartesian coordinates but local (or toral) coordinates, and often the mechanical systems will be described directly in local coordinates omitting the obvious but tedious discussion necessary when the local coordinates are not global (i.e., they are not globally equivalent to Cartesian coordinates).


Dirichlet Problem Lagrangian Function Canonical Transformation Geodesic Motion Integrability Criterion 
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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  1. 1.Istituto di MatematicaUniversita degli Studi di RomaRomeItaly

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