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A particle of mass m moves in a central force field with potential V(r). The La- grangian in terms of spherical polar coordinates (r, 0, 4) is m (2 +rô² +r² sin² 04? ) – V(r). 1. Find the momenta (p, Po, Po) conjugate to (r,0,p). 2. Find the Hamiltonian H(r,0,4,,Pr, Pe, Pg). 3. Write down the explicit Hamiltonian's equations of motion. ?
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