Show that Hamiltons equations of motion lead to the equations of motion (D.5) for a charged particle

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Show that Hamilton€™s equations of motion

не (і %3D1, 2, 3) Ән pi = дх, др:

lead to the equations of motion (D.5) for a charged particle in an electromagnetic field if the Hamiltonian is of the form (D.3), where r = (x₁, x₂, x₃) ‰¡ (x, y, z).

(р-ДА)? + qф, 2m Н- (D.3)

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Particle Physics

ISBN: 978-1118912164

4th Edition

Authors: Brian R. Martin, Graham Shaw

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Question Posted: Dec 13, 2018 11:56 AM

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Show that Hamiltons equations of motion lead to the equations of motion (D.5) for a charged particle

Question:

не (і %3D1, 2, 3) Ән pi = дх, др: (р-ДА)? + qф, 2m Н- (D.3)

Step by Step Answer:

From D3 we obtain recall that r x 1 x 2 x 3 so that p i mx i qA i r t 2 ...View the full answer

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