How can Green's function be used to calculate charge density of states?

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Green's function can be utilized to calculate the charge density of states, as indicated by Nieminen's work in Phys. Rev. B. The relationship is expressed as rho = -1/pi Im(G°) and delta rho = -2/pi I am (int (delta G dE)). These equations suggest a method for deriving the density of states using Green's functions. The discussion highlights the need for clearer examples and derivations to understand this application better. Overall, Green's functions serve as a critical tool in theoretical physics for analyzing charge densities.
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Does anybody know how Green's function can be used to calculate the charge density of state?
Thanks
Tanja
 
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Could you be more specific and post an example?
 
In Phys. Rev. B, 66, 165421 (2002) by Nieminen
they state that rho = - 1/pi Im(G°), without explanation and in
Phys. Rev. B 60, Number 4 (1999) also by Nieminen:
delta rho = -2/pi I am (int (delta G dE))
There must be a way to derive the density of state by Green's functions.
 
This is really an application of Green' functions to physics. I'm going to move it to a physics area.
 
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