Equivalent Lagrangian densities and invariant collective coordinates equations

Elías Zamora-Sillero, Aleksandr Vasilievich Shapovalov

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In the framework of the Lagrangian formalism the partial differential equation under study does not define univocally the Lagrangian density. In this paper we obtain a necessary and sufficient consistency condition over the ansatz that assures the invariance of the collective coordinates (CCs) equations under the change of equivalent Lagrangian densities. When this condition is not fulfilled we show explicitly that different equations of CCs may emerge from equivalent Lagrangian densities and a good agreement between the CCs and the partial differential equations is not expected.

Original languageEnglish
Article number065204
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number6
DOIs
Publication statusPublished - 11 Feb 2011
Externally publishedYes

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Partial differential equations
Invariant
Invariance
partial differential equations
Partial differential equation
Consistency Conditions
invariance
formalism
Necessary
Sufficient Conditions

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

Cite this

Equivalent Lagrangian densities and invariant collective coordinates equations. / Zamora-Sillero, Elías; Shapovalov, Aleksandr Vasilievich.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 44, No. 6, 065204, 11.02.2011.

Research output: Contribution to journalArticle

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