0bwhere a, b,ki and ky are arbitrary const">

+ a A dynamical system is described by the Lagrangian 207 393 L = +k293, 91,92 > 0 b where a, b,ki and ky are arbitrary constants, and the last term repre- sents the potential of the system. (b) Find the Hamiltonian of this system. (c) The potential is exchanged with the term below V = ln(1 +91) +ette Write down the new Lagrangian, and determine the generalized mo- menta of the new system. (d) Show that the new Hamiltonian is given by H- apibp3 - In(1 +21) - eta + 8 12 (e) Derive the canonical equations for this Hamiltonian.