• Problem 5. Green's function and Friedel oscillations. Derive the single-particle Green function Gap(€, x, x') for non-
Posted: Wed May 18, 2022 4:35 pm
• Problem 5. Green's function and Friedel oscillations. Derive the single-particle Green function Gap(€, x, x') for non-interacting fermi-particles located on a straight line infinite and one-dimensional). - Obtain the Green's function for the case of semi-infinite line (x > 0) with hard-wall boundary conditions Vx= = 0. Demonstrate that the density of the Fermi gas oscillates as a function of x. Find the period of the oscillations. c0