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advanced_tools:symplectic_structure [2018/05/03 13:15]
jakobadmin [Why is it interesting?]
advanced_tools:symplectic_structure [2018/10/11 14:59] (current)
jakobadmin [Concrete]
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   * [[http://​math.mit.edu/​~cohn/​Thoughts/​symplectic.html|Why symplectic geometry is the natural setting for classical mechanics]] by Henry Cohn   * [[http://​math.mit.edu/​~cohn/​Thoughts/​symplectic.html|Why symplectic geometry is the natural setting for classical mechanics]] by Henry Cohn
   * Chapter "​[[https://​link.springer.com/​chapter/​10.1007%2F978-1-4612-0189-2_3#​page-1|Phase Spaces of Mechanical Systems are Symplectic Manifolds"​ in the book  Symmetry in Mechanics]] by Stephanie Frank Singer   * Chapter "​[[https://​link.springer.com/​chapter/​10.1007%2F978-1-4612-0189-2_3#​page-1|Phase Spaces of Mechanical Systems are Symplectic Manifolds"​ in the book  Symmetry in Mechanics]] by Stephanie Frank Singer
 +  * See also Chapter 1 in Principles Of Newtonian And Quantum Mechanics by Gosson
  
  
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 $$d^2 S = 0$$ $$d^2 S = 0$$
  
-everywhere—and this gives Hamilton’s equations and the [[equations:​maxwell_relations|Maxwell relations]]. ​+everywhere—and this gives Hamilton’s equations and the [[formulas:​maxwell_relations|Maxwell relations]]. ​
  
 <​cite>​https://​johncarlosbaez.wordpress.com/​2012/​01/​23/​classical-mechanics-versus-thermodynamics-part-2/</​cite>​ <​cite>​https://​johncarlosbaez.wordpress.com/​2012/​01/​23/​classical-mechanics-versus-thermodynamics-part-2/</​cite>​
advanced_tools/symplectic_structure.1525346130.txt.gz · Last modified: 2018/05/03 11:15 (external edit)