Question

Show that Eq. (2.9.14) for $G_t$ is identical to (2.7.8) using the result in (2.9.15). Self-energies obey the same relations as the Green's functions: i.e., $\Sigma_t=\Sigma^r+\Sigma^{<}$, etc.

   Show that Eq. (2.9.14) for $G_t$ is identical to (2.7.8) using the result in (2.9.15). Self-energies obey the same relations as the Green's functions: i.e., $\Sigma_t=\Sigma^r+\Sigma^{<}$, etc.

Many-Particle Physics

Many-Particle Physics

Gerald D. Mahan 1st Edition

Chapter 2, Problem 9

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We need to show that equation (2.9.14) for $G_t$ is identical to equation (2.7.8) using the result in (2.9.15). We're also told that self-energies follow the same relations as Green's functions, specifically $\Sigma_t = \Sigma^r + \Sigma^{<}$. Show more…

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Show that Eq. (2.9.14) for $G_t$ is identical to (2.7.8) using the result in (2.9.15). Self-energies obey the same relations as the Green's functions: i.e., $\Sigma_t=\Sigma^r+\Sigma^{<}$, etc.

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