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\sum_k \rho(p(t, {\bf r})) \, \sum_k q_k(t) \cdot \delta({\bf r}-{\bf r}_k) = \sum_k \rho(p(t, {\bf r}_k)) \, \sum_k q_k(t) \cdot \delta({\bf r}-{\bf r}_k) = \sum_k \rho(p(t, {\bf r})) \, \sum_k q_k(t) \cdot \delta({\bf r}-{\bf r}_k) = \rho(p) \, \sum_k q_k(t) \cdot \delta({\bf r}-{\bf r}_k) |
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