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Esse artigo foi originalmente publicado na Revista American Institute of Physics, v.33141, n.2, 2012.
ABOUT NON-MAXIMALITY OF THE ACTION FUNCTIONAL
Freire, W.H.C.; Lima, J.P.N.
Abstract
In this work first we review some cases where the action exhibits a minimal or a saddle-point criticality for velocity-independent potentials (V(x, t)) and maximum when the potential is velocity-dependent (V(x,ẋ ,t)V(x,ẋ,t)). In the following we will use the functional (“directional”) derivative of second order to present a mathematically rigorous proof of the non-maximality of the classical functional action for potentials V(x, t) velocity-independent.
Acesse a revista onde o artigo foi originalmente publicado
Se for citar o artigo, referencie da seguinte forma:
FREIRE, W. H. C; LIMA, J. P. N. About non-maximality of the action functional. American Institute of Physics Advances. V.32141, n. 2, p.01 - 05, ago. 2012.
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