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Hamiltonian   (Anglų)

Apibrėžimas amžius 19 lygis-ang. 4

For a given dynamical system, described by generalised coordinates qi and generalised momenta pi, the Hamiltonian is H = ∑pi [(q)\dot]iL , where L is the Lagrangian of the system, and [(q)\dot] is the derivative of q with respect to time.
(pi are given by pi = [(∂L)/(∂[(q)\dot]i)] . )
If L does not depend explicitly on time, then H is the total energy of the system.

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