Graduate From two-body Green's function to one-body in perturbation theory

  • Thread starter Thread starter forever_physicist
  • Start date Start date
  • Tags Tags
    Green function
Click For Summary
The discussion focuses on deriving Hedin's equations for the GW approximation, specifically the equation involving the two-body Green's function. The user expresses difficulty in finding a source that clearly explains the derivation of the equation G(1,3,2,3^+) = G(1,2)G(3,3^+) - δG(1,2)/δφ(3). A suggested resource for a complete derivation is provided, linking to a relevant publication on ResearchGate. The conversation highlights the challenges in accessing clear and direct derivations in academic literature. Overall, the thread emphasizes the need for accessible explanations in complex theoretical frameworks.
forever_physicist
Messages
7
Reaction score
1
Hi guys! I am trying to derive the Hedin's equations used for GW on my own, and I found this equation, but I cannot really derive it, nor find a source where they explain how this can be derived (they link to other papers that in the end don't show where this is coming from). The equation I am talking about is:
$$G(1,3,2,3^+) = G(1,2)G(3,3^+)-\frac{\delta G(1,2)}{\delta \phi(3)}$$
Can somebody tell me how this can be derived or just link me to a document with a full derivation?
Thanks!
 
Physics news on Phys.org

Thread 'Wave properties of a phonon'

I am currently reading Kittel's Introduction to Solid State Physics and am confused by the terminology regarding phonons. On page 99 (8th ed.), regarding Eq. 27, Kittel writes: "The energy of an elastic mode of angular frequency ## \omega ## is ## \epsilon = (n + 1/2)\hbar\omega ## when the mode is excited to quantum number ## n ##; that is, when the mode is occupied by ## n ## phonons. This definition implies that: The mode (the harmonic oscillator) is the entity that possesses the wave...
View full post »

Similar threads

Undergrad Hartree-Fock: Feynman diagrams vs perturbation theory
  • · Replies 9 ·
Replies
9
Views
3K
Graduate Studying Green's function in many body physics
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Time dependent perturbation theory applied to energy levels
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Green's function boundary conditions
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Circuit ODE with multiple short voltage impulses
  • · Replies 1 ·
Replies
1
Views
2K
Green's function and density of states
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Two-body correlation function computation
  • · Replies 1 ·
Replies
1
Views
3K
Graduate A question from a paper on perturbation theory
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Green's function for Stokes equation
  • · Replies 1 ·
Replies
1
Views
2K
Help using Green’s functions in solving Differential Equations please
  • · Replies 2 ·
Replies
2
Views
2K