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Griffiths eqn 4.5

  • Thread starter ehrenfest
  • Start date
1,996
1
[SOLVED] Griffiths eqn 4.5

1. Homework Statement
This question refers to Griffiths E and M book.
[tex]\vec{F} = (\vec{p} \cdot \nabla)\vec{E} [/tex]
Can someone please explain what the expression in parenthesis is? I have never seen that before? Is it a vector or a scalar or an operator or what? And what is the operation between what is parenthesis and E? I think Griffiths really botched this. Obviously Griffiths wants to use this notation to write "more compactly" the equation before the previous equation, but he cannot just make up notation like that!

2. Homework Equations



3. The Attempt at a Solution
 
Last edited:

Answers and Replies

kdv
336
1
1. Homework Statement
This question refers to Griffiths E and M book.
[tex]\vec{F} = (\vec{p} \cdot \nabla)\vec{E} [/tex]
Can someone please explain what the expression in parenthesis is? I have never seen that before? Is it a vector or a scalar or an operator or what? And what is the operation between what is parenthesis and E? I think Griffiths really botched this. Obviously Griffiths wants to use this notation to write "more compactly" the equation before the previous equation, but he cannot just make up notation like that!

2. Homework Equations



3. The Attempt at a Solution
I don't find anything ambiguous about it.

[tex] \vec{p} \cdot \nabla = p_x \partial_x + p_y \partial_y + p_z \partial_z [/tex]
so this is a scalar operator. Then you apply it to each of the components of E to get each of the components of F.
 
1,996
1
I see what you mean.
 

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