A little help with a two particle Hamiltonian

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The discussion centers on calculating the spatial derivative of G, a two-particle Hamiltonian, which depends on the density matrix P, itself a function of R. The key conclusion is that the derivative dG/dR can be computed using the chain rule, and no special derivative techniques are required. This clarification assists in understanding the relationship between G, P, and R in quantum mechanics.

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A little help with a two-particle hamiltonian
Hello, I'm working on a project. I need to understand every equation in a paper.
I need to calculate the spatial derivative of G (d/dR), a two-particle Hamiltonian. However, G is a function of P- the density matrix and P is a function of R. Is it a "special derivative"?
Here is the attached paper. <Moderator's note: deleted for copyright reasons>
thank you very much,
Lee

Moderator's note: Paper can be found at:
https://doi.org/10.1063/1.3152120
 
Last edited by a moderator:
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LeeT said:
the spatial derivative of G (d/dR), a two-particle Hamiltonian. However, G is a function of P- the density matrix and P is a function of R.
The derivative with respect to R of a function G which is a function of P, which is a function of R can be computed by the chain rule. Nothing ''special'' is needed.
 

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