(* ::Package:: *)

(************************************************************************)
(* This file was generated automatically by the Mathematica front end.  *)
(* It contains Initialization cells from a Notebook file, which         *)
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(* ".nb" instead of ".m".                                               *)
(*                                                                      *)
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(* end.                                                                 *)
(*                                                                      *)
(* DO NOT EDIT THIS FILE.  This entire file is regenerated              *)
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(************************************************************************)



SetDirectory["~drorbn/AcademicPensieve/Projects/WKO4"];
<< FreeLie.m;
<< AwCalculus.m;
x=LW@"x"; y=LW@"y"; u=LW@"u";
{F=LS[{x,y}, Fs], G=LS[{x,y}, Gs]}; Fs["y"]=1/2;
SeriesSolve[{F,G},
\[HBar]^-1 (LS[x+y]-BCH[y,x]\[Congruent]F-G-Ad[-x][F]+Ad[y][G])\[And]Subscript[div, x][F]+Subscript[div, y][G]\[Congruent]1/2 Subscript[tr, u][adSeries[ad/(E^ad-1), x][u]+adSeries[ad/(E^ad-1), y][u]-adSeries[ad/(E^ad-1), BCH[x,y]][u]]];
{F,G} 



