User Tools

Site Tools


equations:hamiltons_equations

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
equations:hamiltons_equations [2018/11/23 13:28]
129.13.36.189 [Why is it interesting?]
equations:hamiltons_equations [2019/02/12 15:21] (current)
129.13.36.189 [Why is it interesting?]
Line 312: Line 312:
  
 ---- ----
 +
 +<​blockquote>​[E]verybody loves Hamilton’s equations: there are just two, and they summarize the entire essence of classical mechanics.
 +
 +<​cite>​[[https://​johncarlosbaez.wordpress.com/​2012/​01/​19/​classical-mechanics-versus-thermodynamics-part-1/​|John Baez]]</​cite></​blockquote>​
  
 <​blockquote>​You get equations like Hamilton'​s whenever a system *extremizes something subject to constraints*. ​  A moving particle minimizes action; a box of gas maximizes entropy. ​  <​cite>​[[https://​twitter.com/​johncarlosbaez/​status/​1065715514381557761|John Baez]]</​cite></​blockquote>​ <​blockquote>​You get equations like Hamilton'​s whenever a system *extremizes something subject to constraints*. ​  A moving particle minimizes action; a box of gas maximizes entropy. ​  <​cite>​[[https://​twitter.com/​johncarlosbaez/​status/​1065715514381557761|John Baez]]</​cite></​blockquote>​
equations/hamiltons_equations.txt · Last modified: 2019/02/12 15:21 by 129.13.36.189