Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68820
Type: Artigo de periódico
Title: ON THE SYMPLECTICALLY INVARIANT VARIATIONAL PRINCIPLE AND GENERATING-FUNCTIONS
Author: DEALMEIDA, AMO
Abstract: The generating function for canonical transformations derived by Marinov has the important property of sympletic invariance (i.e. under linear canonical transformations). However, a more geometric approach to the rederivation of this function from the variational principle reveals that it is not free from caustic singularities after all. These singularities can be avoided without breaking the symplectic invariance by the definition of a complementary generating function bearing an analogous relation to the Woodward ambiguity function in telecommunications theory as that tying Marinov's function to the Wigner function and the Weyl transform in quantum mechanics. Marinov's function is specially apt to describe canonical transformations close to the identity, but breaks down for reflections through a point in phase space, easily described by the new generating function.
Country: Inglaterra
Editor: Royal Soc London
Rights: fechado
Date Issue: 1990
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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