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--- theorems:noethers_theorems [2018/07/24 16:32]
2a00:1398:200:202:fdaf:868f:cb67:2ad9 [Intuitive]
+++ theorems:noethers_theorems [2021/03/31 18:43] (current)
edi [Concrete]
@@ Line 253: / Line 253: @@
 Therefore, if $G$ is a symmetry then $G$ is conserved. Equally, if $G$ is conserved we automatically know that it generates a canonical transformation.
+----
+**Graphical Summary**
+The diagram below shows the relationship between symmetry and conservation in the Lagrangian formalism for the case of a linear point transformation, such as a rotation. For a more detailed explanation see [[https://esackinger.wordpress.com/|Fun with Symmetry]].
+{{:theorems:sym_and_cons_lagrange.jpg?nolink}}
+The diagram below shows the relationship between symmetry and conservation in the Hamiltonian formalism. For a more detailed explanation see [[https://esackinger.wordpress.com/|Fun with Symmetry]].
+{{:theorems:sym_and_cons_hamilton.jpg?nolink}}
@@ Line 457: / Line 470: @@
-See Chapter 1 in The Noether Theorems: Invariance and Conservation Laws in the Twentieth Century
+  * [[https://arxiv.org/abs/1902.01989|Colloquium: A Century of Noether's Theorem]] by Chris Quigg
+  * See also Chapter 1 in The Noether Theorems: Invariance and Conservation Laws in the Twentieth Century
 by Yvette Kosmann-Schwarzbach
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