Prove the anticommutativity and distributivity of Poisson brackets by showing that (a) ({A, B}_{mathrm{q}, mathrm{p}}=-{B, A}_{mathrm{q}, mathrm{p}})

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Prove the anticommutativity and distributivity of Poisson brackets by showing that

(a) $\{A, B\}_{\mathrm{q}, \mathrm{p}}=-\{B, A\}_{\mathrm{q}, \mathrm{p}}$

(b) $\{A, B+C\}_{\mathrm{q}, \mathrm{p}}=\{A, B\}_{\mathrm{q}, \mathrm{p}}+\{A, C\}_{\mathrm{q}, \mathrm{p}}$.

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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 21, 2024 12:01 AM

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Prove the anticommutativity and distributivity of Poisson brackets by showing that (a) ({A, B}_{mathrm{q}, mathrm{p}}=-{B, A}_{mathrm{q}, mathrm{p}})

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Modern Classical Mechanics

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