[Solved] IMBT Homework2- non-interacting system

• Starting from the general expression for the Greens function for a homogeneous system, G(k,), derive the formula for the Greens function in the non-interacting system, G₀(k,).

• Starting from the general expressions for obtaining the expectation value of any single-particle operator and the ground-state energy of a system from the Greens function, derive the expectation value of the totalnumber operator <N> and the total energy E₀ for the non-interacting system of electrons.

deadline : 28 April 2020