Question: Show that the classical Hamiltonian in Equation 2.54 is consistent with the Lorentz force To proceed, calculate the force in the x direction, F x

Show that the classical Hamiltonian in Equation 2.54 is consistent with the Lorentz force

To proceed, calculate the force in the x direction, F_x = mẍ, the help of the following expressions from classical mechanics:

A dot over a quantity indicates a derivative with respect to time, and two dots represents the second derivative. The y and z components of the force can be obtained by cyclic permutation.

F=q(E+VxB)_

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