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Q73Section II (Mathematics)73 of 190

Legendre transform back from a given Hamiltonian

If the Hamiltonian of the dynamical system is H(q1,q2,p1,p2)=p12+p22−kq12H(q_1,q_2,p_1,p_2)=p_1^2+p_2^2-kq_1^2, then the Lagrangian is given by:

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