Symmetries and conservation laws: Consequences of Noether's theorem

被引：50

作者：

Hanc, J

Tuleja, S

Hancova, M

机构：

[1] Tech Univ, Kosice 04200, Slovakia

[2] Gymnazium Arm Gen L Svobodu, Humenne 06651, Slovakia

[3] Safarik Univ, Kosice 04011, Slovakia

来源：

AMERICAN JOURNAL OF PHYSICS | 2004年 / 72卷 / 04期

关键词：

D O I：

10.1119/1.1591764

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

We derive conservation laws from symmetry operations using the principle of least action. These derivations, which are examples of Noether's theorem, require only elementary calculus and are suitable for introductory physics.. We extend these arguments to the transformation of coordinates due to uniform motion to show that a symmetry argument applies more elegantly to the Lorentz transformation than to the Galilean transformation. (C) 2004 American Association of Physics Teachers.

引用

页码：428 / 435

页数：8

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