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Short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford

Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford

2015

The canonical <Poisson bracket> is
$$
\{f,g\}=\sum_k\left(\frac{\partial f}{\partial q_k}\frac{\partial g}{\partial p_k}-\frac{\partial f}{\partial p_k}\frac{\partial g}{\partial q_k}\right).
$$
The coordinate derivatives are <Kronecker deltas>, so direct substitution gives
$$
\boxed{\{q_i,q_j\}=0,\qquad\{p_i,p_j\}=0,\qquad\{q_i,p_j\}=\delta_{ij}.}
$$

Solution

Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2015 / S7 / 3 / 1 / Solution

Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2015 / S7 / 3 / 1 / Solution

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Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2015 / S7 / 3 / 1 / Solution

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