Mechanics Goldstein again

1. May 3, 2008

pardesi

i don't get this what he wrote...
the internal force $$\vec{F_{ij}}$$ between two particles is $$\vec{F_{ij}}=\nabla_{i} V_{ij}=\nabla_{ij} V_{ij}=-\nabla_{j} V_{ij}$$
where the subscript below $$\nabla_{k}$$implies the differentitaion with respect to components of $$\vec{r_{k}}$$
i can't get how $$\vec{F_{ij}}=\nabla_{i} V_{ij} or \vec{F_{ij}}=-\nabla_{j} V_{ij}$$
the potential energy is dependent on the relative distances between the particles hence there is no meaning to the above two equalities

2. May 3, 2008

nonlocal

are we talking about Sheldon Goldstein?

3. May 3, 2008

malawi_glenn

Last edited by a moderator: Apr 23, 2017
4. May 3, 2008

nonlocal

Oh...

I was thinking about Sheldon Goldstein who deals with quantum mechanics. Sorry

5. May 3, 2008

Staff: Mentor

Yes, you are thinking of Shelly Goldstein of Rutgers, the expert on Bohmian mechanics, not Herbert Goldstein, author of the classic textbook on classical mechanics.

6. May 3, 2008

pardesi

oops sorry for the inconvinience that was Herbert Goldstein....

P.S:Starnge but i am not able to post with my opera 9.27(because the posting page doesn't load completely) though i am able to do so with FireFox 3 Beta 5...i use Ubuntu 8.04