Abstract:
In the framework of the theory of classical equilibrium Green's functions, a method is proposed for finding the spectral intensities of the time correlation functions that makes it possible to establish effectively whether or not they have $\delta$-function singularities at $\omega=0$. The spectral intensity of the density–density correlation function is calculated in the mean field approximation as an illustration.
Citation:
G. O. Balabanyan, “On the problem of the ergodic constant in the theory of classical Green's functions”, TMF, 84:3 (1990), 459–473; Theoret. and Math. Phys., 84:3 (1990), 996–1006
This publication is cited in the following 4 articles:
G. O. Balabanyan, “Classical equilibrium generalized hydrodynamic correlation Green's functions. IV”, Theoret. and Math. Phys., 86:3 (1991), 317–326
G. O. Balabanyan, “Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations. I”, Theoret. and Math. Phys., 88:2 (1991), 833–848
G. O. Balabanyan, “Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations. II”, Theoret. and Math. Phys., 89:1 (1991), 1106–1119
G. O. Balabanyan, “Classical equilibrium generalized hydrodynamic correlation Green's functions for a system of hard balls with weak interaction”, Theoret. and Math. Phys., 89:3 (1991), 1329–1342