Classical Mechanics - Hamiltonian Formulation : Hamiltonian of a Charged Particle in an EM-Field

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Expression for Lorentz force acting on a charged particle in an em-field has been obtained in terms of electromagnetic potentials. Finding the equation of motion, Lagrangian is obtained. Finally using the general expression for Hamiltonian the expression for Hamiltonian of a charged particle is found in the case of non-relativistic motion.

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