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formalisms:hamiltonian_formalism [2018/12/19 11:00]
jakobadmin ↷ Links adapted because of a move operation
formalisms:hamiltonian_formalism [2020/12/26 23:47]
edi [Concrete]
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 ====== Hamiltonian Formalism ====== ====== Hamiltonian Formalism ======
    
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 <tabbox Intuitive> ​ <tabbox Intuitive> ​
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  ​$$H ​ \equiv \sum_j {\dot q}_j p_j  - L$$  ​$$H ​ \equiv \sum_j {\dot q}_j p_j  - L$$
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 +----
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 +**Graphical Summary of Newtonian, Lagrangian, and Hamiltonian Formalism**
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 +[{{ :​frameworks:​newton_lagrange_hamilton.jpg?​nolink }}]
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 +For some concrete examples worked out in all three frameworks see [[https://​esackinger.wordpress.com/​|Fun with Symmetry]].
  
  
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 <tabbox Why is it interesting?> ​ <tabbox Why is it interesting?> ​
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-<​blockquote>​[E]verybody loves Hamilton’s equations: there are just two, and they summarize the entire essence of classical mechanics. 
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-<​cite>​[[https://​johncarlosbaez.wordpress.com/​2012/​01/​19/​classical-mechanics-versus-thermodynamics-part-1/​|John Baez]]</​cite></​blockquote>​ 
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-</​WRAP>​ 
  
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 <​blockquote>​In fact, <​blockquote>​In fact,
formalisms/hamiltonian_formalism.txt · Last modified: 2023/04/02 03:34 by edi