一般的R2m中的Hamilton系统是通过 辛矩阵代替矩阵J或用Poisson括号 来定义Hamilton系统.这些知识超出本书的范围，不在此叙述. 有兴趣的读者可参见 o Abraham R and Marsden JE,Foundations of Mechanics, 1978 o Arnold VI.Mathematical Methods of Classical Mechanics, 1989 日+4艺”4主12月双0 张样：上海交通大学数学系 第十八讲，馆沿探索：Hamilton系统初步
òÑ R 2n • Hamilton X⁄¥œL "› ìO› J ½^ Poisson )“ 5½¬ Hamilton X⁄. ˘ £á— ÷âå, ÿ3dQ„. k,÷ˆåÎÑ Abraham R and Marsden JE, Foundations of Mechanics, 1978 Arnold VI, Mathematical Methods of Classical Mechanics, 1989 ‹å: ˛°œåÆÍÆX 1õl˘!c˜&¢µHamiltonX⁄–⁄
o Hamiltonian systems are studied in Hamiltonian mechanics. o Hamiltonian mechanics is a reformulation of classical mechanics that was introduced in 1833 by Irish mathematician William Rowan Hamilton. o Hamiltonian mechanics arose from Lagrangian mechanics, a previous reformulation of classical mechanics introduced by Joseph Louis Lagrange(1736-1813)in 1788: ●born in Turin,Italy .lived part of his life in Prussia(Germany)and part in France Lagrange is alternatively considered a French and an Italian scientist 张样：上海交通大学数学系 第十八讲、前沿探索：Hamilton系统初步
Hamiltonian systems are studied in Hamiltonian mechanics. Hamiltonian mechanics is a reformulation of classical mechanics that was introduced in 1833 by Irish mathematician William Rowan Hamilton. Hamiltonian mechanics arose from Lagrangian mechanics, a previous reformulation of classical mechanics introduced by Joseph Louis Lagrange (1736–1813) in 1788: born in Turin, Italy lived part of his life in Prussia (Germany) and part in France Lagrange is alternatively considered a French and an Italian scientist ‹å: ˛°œåÆÍÆX 1õl˘!c˜&¢µHamiltonX⁄–⁄