Editing Hamiltonian
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The '''Hamiltonian''' | The '''Hamiltonian''' is given by | ||
:<math>H (q,p,t) = \dot{q_i}p_i -L(q,\dot{q},t)</math> | :<math>H (q,p,t) = \dot{q_i}p_i -L(q,\dot{q},t)</math> | ||
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and | and | ||
:<math>\dot{q_i} = \frac{\partial H}{\partial p_i}</math> | :<math>\dot{q_i} = \frac{\partial H}{\partial p_i}</math> | ||
==References== | ==References== | ||
#[http://dx.doi.org/10.1098/rstl.1834.0017 William Rowan Hamilton "On a General Method in Dynamics; By Which the Study of the Motions of All Free Systems of Attracting or Repelling Points is Reduced to the Search and Differentiation of One Central Relation, or Characteristic Function", Philosophical Transactions of the Royal Society of London '''124''' pp. 247-308 (1834)] | |||
#[http://dx.doi.org/10.1098/rstl.1835.0009 William Rowan Hamilton "Second Essay on a General Method in Dynamics", Philosophical Transactions of the Royal Society of London '''125''' pp. 95-144 (1835)] | |||
[[category: classical mechanics]] | [[category: classical mechanics]] |