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ifos • paper_1 • mechanicsifos-2018-subject-01-005

Hamilton’s equations — UPSC IFoS 2018 Physics PYQ

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In special theory of relativity, the Hamiltonian of a free particle with rest mass m_0 is given by \sqrt{p^2 c^2 + m_0^2 c^4}. Obtain the Lagrangian of the system using Legendre transformation.

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