- #1
fluidistic
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Homework Statement
For a particle, calculate Poisson brackets formed by:
1)The Cartesian components of the linear momentum [itex]\vec p[/itex] and the angular momentum [/itex]\vec M =\vec r \times \vec p[/itex].
2)The Cartesian components of the angular momentum.
Homework Equations
[itex][u,p]_{q,p}= \sum _k \left ( \frac{\partial q }{\partial q_k } \frac{\partial v }{\partial p _k} -\frac{\partial q }{\partial p_k } \frac{\partial v }{\partial q _k} \right )[/itex].
The Attempt at a Solution
2)Nothing still, waiting to complete 1).
1)I calculated the Cartesian components of M and p.
I don't understand what I have to calculate. [itex][\vec p, \vec M][/itex] I'm guessing but with what subscript?
Thanks for any help.
Edit: Hmm I think the subscript is always q,p. But p and M are vectors, so have I to calculate directional derivative?
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