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The Lagrangian of a particle of charge e and mass m in applied electric and...

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The Lagrangian of a particle of charge e and mass m in applied electric and magnetic fields is given by L mv e v e where and are the vector and scalar potentials corresponding to the magnetic 2 and electric fields respectively Which of the following statements is correct a The canonically conjugate momentum of the particle is given by p mv p 2m m c L remains unchanged under a gauge transformation of the potentials d Under a gauge transformation of the potentials L changes by the total time derivative of a function of b The Hamiltonian of the particle is given by H p ed

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