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Math Help - Del operator subindex

  1. #1
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    Del operator subindex

    If you have a conservative force \textbf{F}=-\nabla V(\textbf{r})

    Here is what is written in my textbook.
    If \textbf{F}^{(e)}_i is an external force then
    \sum_i \int_1^2 \textbf{F}_i^{(e)} \cdot d\textbf{s}_i=-\sum_i \int_1^2 \nabla_i V_i \cdot d\textbf{s}_i=-\left. \sum_i V_i \right|_1^2

    What is the meaning of the subscript i in \nabla_i. The only think that comes to my mind is a covariant derivative which is totally out of context.

    I understand that \textbf{F}^{(e)}_i=-\nabla V_i but what is the purpose of the subindex of the del operator? I am not familiar with that notation.
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  2. #2
    Member Ruun's Avatar
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    I think it means the particle with the label i
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