Show that the classical Hamiltonian in Equation 2.54 is consistent with the Lorentz force To proceed, calculate

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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.

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Molecular Spectroscopy

ISBN: 9781466586598

2nd Edition

Authors: Jeanne L McHale

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Question Posted: Aug 26, 2023 05:56 AM

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Show that the classical Hamiltonian in Equation 2.54 is consistent with the Lorentz force To proceed, calculate

Question:

F=q(E+VxB)_

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Lets do the calculations to demonstrate this consistency The task is to show that the classical Hami...View the full answer

Molecular Spectroscopy

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