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Canonical equations and Jacobi’s theorem

  • A. I. Lurie
Chapter
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

Let us consider a continuous function Φ (x i,..., x n ) of variables x l,..., x n which has continuous derivatives of the first and second order with respect to all variables. The transformation from the “old” variables x l,..., x n to the “new” ones
$$ y_s = \frac{{\partial \Phi }} {{\partial x_s }}(s = 1,...,n).$$
(10.1.1)
is carried out by means of function Φ referred to as the generating function.

Keywords

Poisson Bracket Canonical Variable Hamiltonian Function Canonical Transformation Support Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • A. I. Lurie

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