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theorems:noethers_theorems

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theorems:noethers_theorems [2019/02/11 11:08]
129.13.36.189 [History]
theorems:noethers_theorems [2021/03/31 18:43] (current)
edi [Concrete]
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 Therefore, if $G$ is a symmetry then $G$ is conserved. Equally, if $G$ is conserved we automatically know that it generates a canonical transformation. ​ Therefore, if $G$ is a symmetry then $G$ is conserved. Equally, if $G$ is conserved we automatically know that it generates a canonical transformation. ​
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 +----
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 +**Graphical Summary**
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 +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]].
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 +{{:​theorems:​sym_and_cons_lagrange.jpg?​nolink}}
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 +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]].
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 +{{:​theorems:​sym_and_cons_hamilton.jpg?​nolink}}
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theorems/noethers_theorems.txt · Last modified: 2021/03/31 18:43 by edi