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formalisms:hamiltonian_formalism [2018/12/19 11:00] jakobadmin ↷ Links adapted because of a move operation |
formalisms:hamiltonian_formalism [2019/02/12 15:20] 129.13.36.189 [Why is it interesting?] |
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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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<blockquote>In fact, | <blockquote>In fact, | ||
with suitable choices of H, Hamilton's equations still hold true for any system | with suitable choices of H, Hamilton's equations still hold true for any system | ||
of classical equations whatever, not just for Newton's equations. In particular, this will be the case for the Maxwell(-Lorentz) theory that we shall be | of classical equations whatever, not just for Newton's equations. In particular, this will be the case for the Maxwell(-Lorentz) theory that we shall be | ||
- | considering shortly. Hamilton's equations also hold true for [[theories:special_relativity|special relativity]]. | + | considering shortly. Hamilton's equations also hold true for [[models:special_relativity|special relativity]]. |
Even[[models:general_relativity| general relativity]] can, if due care is exercised, be subsumed into the | Even[[models:general_relativity| general relativity]] can, if due care is exercised, be subsumed into the | ||
Hamiltonian framework. Moreover, as we shall see later with [[equations:schroedinger_equation|Schrodinger's | Hamiltonian framework. Moreover, as we shall see later with [[equations:schroedinger_equation|Schrodinger's |