The Lagrangian for particle in three dimension is given by $$ L= {m\over 2} \left( \dot{\rho}^2 + \rho^2 \dot{\phi}^2 + {\dot{z}^2\over{1+(\rho/\lambda)^2 }}\right) -V(\rho) $$
- Find the canonical momenta conjugate to the generalized co- ordinates $\rho,\phi,z$.
- Compute the Hamiltonian of the system
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4727:Diamond Point
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