Canonical equations and Jacobi’s theorem

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


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
$$ y_s = \frac{{\partial \Phi }} {{\partial x_s }}(s = 1,...,n).$$
is carried out by means of function Φ referred to as the generating function.


Poisson Bracket Canonical Variable Hamiltonian Function Canonical Transformation Support Point 
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© Springer-Verlag Berlin Heidelberg 2002

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  • A. I. Lurie

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