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I find that some book e.g.

says that :" By analogy with the classical polarization, we define a polarization

propagator through the relationship ... ε=1-vP" , where ε is the dielectronic response function, and v is the bare Coulomb potential.

I do not remember such relationship in electrodynamics. Can anybody remind me of it?

In fact, on the next page in the book, I find a new relationship i.e. P=δρ/δV， where V is the total potential instead of external potential and ρ is the electron density.

But is there any similarity between this polarization function P and the classical polarization?

*Many-body theory of solids*by John C. Inkson P145says that :" By analogy with the classical polarization, we define a polarization

propagator through the relationship ... ε=1-vP" , where ε is the dielectronic response function, and v is the bare Coulomb potential.

I do not remember such relationship in electrodynamics. Can anybody remind me of it?

In fact, on the next page in the book, I find a new relationship i.e. P=δρ/δV， where V is the total potential instead of external potential and ρ is the electron density.

But is there any similarity between this polarization function P and the classical polarization?

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