Partial derivative is terms of Kronecker delta and the Laplacian operator

  • #1
Safinaz
259
8
TL;DR Summary
How to write partial derivatives in terms of Kronecker delta and the Laplacian operator?
How can the following term:

## T_{ij} = \partial_i \partial_j \phi ##

to be written in terms of Kronecker delta and the Laplacian operator ## \bigtriangleup = \nabla^2 ##?

I mean is there a relation like:

## T_{ij} = \partial_i \partial_j \phi = ?? \delta_{ij} \bigtriangleup \phi.##

But what are ?? term

Any help is appreciated!
 
Last edited:
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  • #2
It cannot.
 
  • #3
Orodruin said:
It cannot.
So there is no any way to simplify ## \partial_i \partial_j \phi ## ?
 
  • #4
Not really no. Not without knowing more. In some special cases, perhaps, but not as a general rule.

What is the context here?
 

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