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Moving impurity particle causing back flow in a background Bose- or Fermi liquid at T = 0 is treated as a weak inhomogeneity applying the inhomogenious HNC-theory. The Euler-Lagrange equation for the density fluctuation is simple but non-linear. In the case of charged impurity in electron gas the equation is solved in closed form using uniform limit approximation. This already goes beyond the conventional...
The negative value of the order parameter susceptibility found in simple mean field theories of spin-glasses is related to the negative value of the kinetic coefficent of the spin response function. The zero frequency limit of the self-consistent equation for the dynamic response function has a solution which differs from the spin-spin correlation function obtained from a static calculation. This...