Consider a Lagrangian of the form Show that the resulting Lagrange equations give Newton's second law (mathbf{F}=d

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Consider a Lagrangian of the form

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Show that the resulting Lagrange equations give Newton's second law $\mathbf{F}=d \mathbf{p} / d t$ for a relativistic particle, if $F^{i}=-\partial U / \partial x^{i}$.

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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Question Posted: Mar 17, 2024 03:00 AM

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Consider a Lagrangian of the form Show that the resulting Lagrange equations give Newton's second law (mathbf{F}=d

Question:

L = mc (11-12/c) U(x, y, z). -

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Modern Classical Mechanics

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