GATE PH 2025 PH Q51: Lagrangian Formulation

The Lagrangian of a particle of mass

and charge

moving in a uniform magnetic field of magnitude

that points in the

direction, is given by

where

are the components of its velocity

. If

denote the conjugate momenta in the

directions and

is the Hamiltonian, which of the following option(s) is/are correct?

Your answerSelect all correct options. You can choose more than one.

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