弟三章Hamilton已知一力学系统之HamiltonianH为则由Legendre鸾.PDF
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Hamilton
HamiltonJacobi
Hamiltonian H
p i
H x p t V x t i n
i i i
m
Legendre Lagrangian
dx i L
L p H x p t p
i i i i
dt x i
S Z t Ldt
t
Z t dx i
p H x p t dt
i i i
dt
t
Z t d dx i d
p i x i p i H H t dt
dt dt dt
t
H V H p i
x i x i p i m
H H H
H x i p i t
x i p i t
Z t d
S p i x i H t dt
dt
t
Z t
dp i V dx i p i dH H
x i p i t dt
t dt x i dt m dt t
HamiltonJacobi
dx i H p i
p i
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