formalisms:hamiltonian_formalism
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formalisms:hamiltonian_formalism [2018/12/19 11:00] jakobadmin ↷ Links adapted because of a move operation |
formalisms:hamiltonian_formalism [2023/04/02 03:34] (current) 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/blog/classical-mechanics|Fun with Symmetry]]. | ||
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| <tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||
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| - | </WRAP> | ||
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| - | <WRAP half column> | ||
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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> | ||
| - | </WRAP> | ||
| <blockquote>In fact, | <blockquote>In fact, | ||
formalisms/hamiltonian_formalism.1545213651.txt.gz · Last modified: 2018/12/19 10:00 (external edit)
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