Equivalent Lagrangian densities and invariant collective coordinates equations

Bibliographic Details
Parent link:Journal of Physics A: Mathematical and Theoretical: Scientific Journal
Vol. 44, iss. 6.— 2011.— [065204, 11 p.]
Main Author: Elias Zamora-Sillero
Corporate Author: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Other Authors: Shapovalov A. V. Aleksandr Vasilyevich
Summary:Title screen
In the framework of the Lagrangian formalism the partial differential equationunder study does not de?ne univocally the Lagrangian density. In this paperwe obtain a necessary and suf?cient consistency condition over the ansatz thatassures the invariance of the collective coordinates (CCs) equations under thechange of equivalent Lagrangian densities. When this condition is not ful?lledwe show explicitly that different equations of CCs may emerge from equivalentLagrangian densities and a good agreement between the CCs and the partialdifferential equations is not expected
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Published: 2011
Subjects:
Online Access:http://iopscience.iop.org/1751-8121/44/6/065204
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636451