Compute the Poisson bracket of any components of position or momentum with any component of angular momentum.

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Compute the Poisson bracket of any components of position or momentum with any component of angular momentum. Use the Poisson bracket representation as derivatives with respect to canonical coordinates and momenta. You might find it useful to write \(L^{i}=\varepsilon^{i j k} x^{j} p^{k}\), and use identities involving the totally antisymmetric tensor \(\varepsilon^{i j k}\).

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

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

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