- #1
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What does the subscript [tex](\theta, \phi)[/tex] mean on the laplace operator? i.e.
[tex]{\nabla}^2 V_{(\theta, \phi)}[/tex]
[tex]{\nabla}^2 V_{(\theta, \phi)}[/tex]
Ooops.. I meant to put the subscript on the operator not on the function. Sorry about that.I think the variables should be on the operator, and not on the potential. I've seen it most commonly like this:
[tex]\nabla^2_{r'} V(r-r')[/tex]
where the subscript is to remind us that, as CPL.Luke says, that we are differentiating with respect to the dashed variables (or undashed, as it is in your example)
I've seen [tex]\nabla^2_{xy}[/tex] to mean
[tex]\nabla^2_{xy}=\frac{\partial^2}{\partial x^2}+\frac{\partial^2}{\partial y^2}[/tex]