Consider a particle of mass m moving freely in a conservative force field whose potential function is U. Find the Hamiltonian function and show that the canonical equations of motion reduce to Newton’s equation.

Consider a particle of mass m moving freely in a conservative force field whose potential function is U. Find the Hamiltonian function and show that the canonical equations of motion reduce to Newton’s equation.

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Question

Consider a particle of mass m moving freely in a conservative force field whose potential
function is U. Find the Hamiltonian function and show that the canonical equations of motion
reduce to Newton’s equation.

Expert Solution