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IFoS · Paper I · Mechanicsifos-2018-subject-01-005

Hamilton’s equations (Question 1 (10 Marks)) — UPSC Physics Optional IFoS 2018 Paper I

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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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