[en] A general method for finding particle distribution function by solving the Fokker-Planck equation for a stored electron beam in the presence of radiation damping, quantum excitation and linear coupling has been formulated in previous PEP notes. The stationary distribution has been shown to be a gaussian which can be written as exp (Σ/sub i/Σ/sub j/x/sub i/A/sub ij/x/sub j/) with x/sub k/ a particle canonical coordinate, A/sub ij/ a constant whose value depends upon the strength of the coupling elements, and the average value < x/sub i/x/sub j/> equal to /minus/1/2 A/sup /minus/1//sub ij/. This procedure offers us a logical way for obtaining the dependences of these quantities upon the coupling element strengths. The purpose of this paper is to present a derivation for A/sup /minus/1//sub ij/ in terms of the usual coupling coefficiency calculated from smooth approximation. Then computation of these quantities and comparison with measured magnet misalignment and a possible rotated quadrupole magnet system in PEP is presented. Derivations of some well-known results are included in the appendices for completeness. 15 refs., 6 figs