The generating function of a canonical transformation
نویسنده
چکیده
One of the main reasons why the Hamiltonian formalism is more useful than the Lagrangian formalism is that the set of coordinate transformations that leave invariant the form of the Hamilton equations is much wider than the set of coordinate transformations that leave invariant the form of the Lagrange equations. Furthermore, each of the so-called canonical transformations leaves invariant the form of the Hamilton equations and can be obtained from a single real-valued function of 2n + 1 variables, where n is the number of degrees of freedom of the system, which is therefore called the generating function of the transformation.
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تاریخ انتشار 2011