ifos • paper_1 • mechanics
[UPSC IFoS 2018] Special Theory of Relativity (Q349, 10M)
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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