It has been previously noted that the total time derivative of a function of qi and t can be added to the Lagrangian without changing the equation of motion. What does such an addition do to the canonical momenta and the Hamiltonian? Show that the equations of motion in terms of the new Hamiltonian reduce to the original Hamilton’s equations of motion.
It has been previously noted that the total time derivative of a function of qi and t can be added to the Lagrangian without changing the equation of motion. What does such an addition do to the canonical momenta and the Hamiltonian? Show that the equations of motion in terms of the new Hamiltonian reduce to the original Hamilton’s equations of motion.
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It has been previously noted that the total time derivative of a function
of qi and t can be added to the Lagrangian without changing the equation
of motion. What does such an addition do to the canonical momenta and
the Hamiltonian? Show that the equations of motion in terms of the new
Hamiltonian reduce to the original Hamilton’s equations of motion.
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