Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-21
Physics
High Energy Physics
High Energy Physics - Theory
4 pages
Scientific paper
In classical mechanics, we can describe the dynamics of a given system using either the Lagrangian formalism or the Hamiltonian formalism, the choice of either one being determined by whether one wants to deal with a second degree differential equation or a pair of first degree ones. For the former approach, we know that the Euler-Lagrange equation of motion remains invariant under additive total derivative with respect to time of any function of coordinates and time in the Lagrangian function, whereas the latter one is invariant under canonical transformations. In this short paper we address the question whether the transformation that leaves the Euler-Lagrange equation of motion invariant is also a canonical transformation and show that it is not.
Sales J. H. O.
Suzuki Alfredo T.
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