作者DreamYeh (天使)
看板Math
標題[微積] Hamiltonian description
時間Wed Aug 26 01:41:27 2015
Find the Hamiltonian description for the vibrations of the nonlinear
mass-spring system:
mx" + ax + kx^3 = 0
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推 sunev : F = mx" = -ax-kx^3 = -V' V = ax^2/2+kx^3/3 08/26 04:47
→ sunev : H = T+V = p^2/2m + ax^2/2 + kx^3/3 08/26 04:47
→ sunev : dH/dp = x' dH/dx = -p' 08/26 04:48