• Problem 5. Green's function and Friedel oscillations. Derive the single-particle Green function Gap(€, x, x') for non-

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Problem 5 Green S Function And Friedel Oscillations Derive The Single Particle Green Function Gap X X For Non 1 (47.29 KiB) Viewed 41 times

• 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