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The inverse variational problem in classical mechanics

This book provides a concise description of the current status of a fascinating scientific problem - the inverse variational problem in classical mechanics. The essence of this problem is as follows: one is given a set of equations of motion describing a certain classical mechanical system, and the...

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Detalles Bibliográficos
Autor principal: Lopuszánski, Jan T
Lenguaje:eng
Publicado: World Scientific 1999
Materias:
Acceso en línea:http://cds.cern.ch/record/421710
Descripción
Sumario:This book provides a concise description of the current status of a fascinating scientific problem - the inverse variational problem in classical mechanics. The essence of this problem is as follows: one is given a set of equations of motion describing a certain classical mechanical system, and the question to be answered is: Do these equations of motion correspond to some Lagrange function as its Euler-Lagrange equations? In general, not for every system of equations of motion does a Lagrange function exist; it can, however, happen that one may modify the given equations of motion in such a w