On the Vanishing Boundary Terms of Noether's Conservation Laws
T\^ania M. N. Gon\c{c}alves
TL;DR
This paper investigates why certain boundary terms vanish during the calculation of Noether's conservation laws, clarifying a key step in the derivation process.
Contribution
It provides a detailed explanation of the conditions under which boundary terms from integration by parts in Noether's theorem disappear.
Findings
Boundary terms from the first integration by parts vanish under specific conditions.
Clarification of the mathematical reasoning behind vanishing boundary terms.
Improved understanding of the derivation of conservation laws in theoretical physics.
Abstract
In the process of calculating Noether's conservation laws, two sets of integration by parts are performed. Here it is shown why the boundary terms from the first set of integration by parts vanish.
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Taxonomy
Topicsadvanced mathematical theories · Mathematical and Theoretical Analysis · Mathematical Biology Tumor Growth