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[QUE/CM-04013]

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The Lagrangian for particle in three dimension is given by $$ L= {m\over 2} \left( \dot{\rho}^2 + \rho^2 \dot{\phi}^2 + {\dot{z}^2\over{1+(\rho/\lambda)^2 }}\right) -V(\rho) $$

  1.     Find the canonical momenta conjugate to the generalized co- ordinates $\rho,\phi,z$.
  2.     Compute the Hamiltonian of the system

 

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4727:Diamond Point 

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