Nonlocal conserved quantities, balance laws, and equations of motion
type: Item
instance of: scholarly article
title: Nonlocal conserved quantities, balance laws, and equations of motion
zbMATH Open document ID: 0683.45005
DOI: 10.1007/BF00670207
author: Laurence I. Gould
published in: International Journal of Theoretical Physics
publication date: 1989-01-01T00:00:00Z
review text: Laws of conservation and those of motion do play a significant role in science and applications thereof. Here the author develops a new formalism whereby certain balance laws are directly obtainable from integro-differential, linear second-order equations of motion for systems described in terms of several dependent variables. Such laws, reducible to series of conservation laws, are shown to have much practical use in a number of areas of interest including the relativistic and quantum situations. Two appendices throw further light on dynamics of the systems considered. On the whole the paper has enough potential to generate further ideas of immense research value.
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 4118958
zbMATH Keywords: applications to physics
zbMATH Keywords: balance laws
zbMATH Keywords: linear second-order equations of motion
zbMATH Keywords: conservation laws
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4118958