(* ::Package:: *)

(************************************************************************)
(* This file was generated automatically by the Mathematica front end.  *)
(* It contains Initialization cells from a Notebook file, which         *)
(* typically will have the same name as this file except ending in      *)
(* ".nb" instead of ".m".                                               *)
(*                                                                      *)
(* This file is intended to be loaded into the Mathematica kernel using *)
(* the package loading commands Get or Needs.  Doing so is equivalent   *)
(* to using the Evaluate Initialization Cells menu command in the front *)
(* end.                                                                 *)
(*                                                                      *)
(* DO NOT EDIT THIS FILE.  This entire file is regenerated              *)
(* automatically each time the parent Notebook file is saved in the     *)
(* Mathematica front end.  Any changes you make to this file will be    *)
(* overwritten.                                                         *)
(************************************************************************)



(* ::Input::Initialization:: *)
$k=2; (*\[HBar]=\[Gamma]=1;*)


(* ::Input::Initialization:: *)
CF[sd_SeriesData] := MapAt[CF,sd,3];
CF[\[ScriptCapitalE]_] := ExpandDenominator@ExpandNumerator@Together[
Expand[\[ScriptCapitalE]] //. E^x_ E^y_:>E^(x+y) /. E^x_:>E^CF[x]];


(* ::Input::Initialization:: *)
K\[Delta]/:Subscript[K\[Delta], i_,j_]:=If[i===j,1,0];


(* ::Input::Initialization:: *)
\[DoubleStruckCapitalE]/:\[DoubleStruckCapitalE][L1_,Q1_,P1_]\[Congruent]\[DoubleStruckCapitalE][L2_,Q2_,P2_]:=CF[L1==L2]\[And]CF[Q1==Q2]\[And]CF[Normal[P1-P2]==0];
\[DoubleStruckCapitalE]/:\[DoubleStruckCapitalE][L1_,Q1_,P1_]\[DoubleStruckCapitalE][L2_,Q2_,P2_]:=\[DoubleStruckCapitalE][L1+L2,Q1+Q2,P1*P2];
Subscript[\[DoubleStruckCapitalE][L_,Q_,P_], $k_]:=\[DoubleStruckCapitalE][L,Q,Series[Normal@P,{\[Epsilon],0,$k}]];


(* ::Input::Initialization:: *)
{SuperStar[t],SuperStar[b],SuperStar[y],SuperStar[a],SuperStar[x],SuperStar[z]}={\[Tau],\[Beta],\[Eta],\[Alpha],\[Xi],\[Zeta]}; 
{SuperStar[\[Tau]],SuperStar[\[Beta]],SuperStar[\[Eta]],SuperStar[\[Alpha]],SuperStar[\[Xi]],SuperStar[\[Zeta]]}={t,b,y,a,x,z}; SuperStar[(Subscript[u_, i_])]:=Subscript[(SuperStar[u]), i];


(* ::Input::Initialization:: *)
collect[sd_SeriesData, \[Zeta]_] := MapAt[collect[#,\[Zeta]]&,sd,3];
collect[\[ScriptCapitalE]_,\[Zeta]_] := Collect[\[ScriptCapitalE],\[Zeta]];
\!\(\*SubscriptBox[\(Zip\), \({}\)]\)[P_]:=P; \!\(\*SubscriptBox[\(Zip\), \({\[Zeta]_, \[Zeta]s___}\)]\)[P_] :=
(collect[P//\!\(\*SubscriptBox[\(Zip\), \({\[Zeta]s}\)]\),\[Zeta]] /. f_. \[Zeta]^d_.:>\!\(
\*SubscriptBox[\(\[PartialD]\), \({
\*SuperscriptBox[\(\[Zeta]\), \(*\)], d}\)]f\)) /. SuperStar[\[Zeta]]->0


(* ::Input::Initialization:: *)
Subscript[Zip, \[Zeta]s_List]@\[DoubleStruckCapitalE][Q_,P_] := Module[{\[Zeta],z,zs,c,ys,\[Eta]s,qt,zrule,\[Zeta]rule},
zs=Table[SuperStar[\[Zeta]],{\[Zeta],\[Zeta]s}];
c=Q/.Alternatives@@(\[Zeta]s\[Union]zs)->0;
ys=Table[\!\(
\*SubscriptBox[\(\[PartialD]\), \(\[Zeta]\)]\((Q /. Alternatives @@ zs -> 0)\)\),{\[Zeta],\[Zeta]s}];
\[Eta]s=Table[\!\(
\*SubscriptBox[\(\[PartialD]\), \(z\)]\((Q /. Alternatives @@ \[Zeta]s -> 0)\)\),{z,zs}];
qt=Inverse@Table[Subscript[K\[Delta], z,SuperStar[\[Zeta]]]-\!\(
\*SubscriptBox[\(\[PartialD]\), \(z, \[Zeta]\)]Q\),{\[Zeta],\[Zeta]s},{z,zs}];
zrule=Thread[zs->qt.(zs+ys)];
\[Zeta]rule=Thread[\[Zeta]s->\[Zeta]s+\[Eta]s.qt];
Simplify /@ \[DoubleStruckCapitalE][c+\[Eta]s.qt.ys,Det[qt]Subscript[Zip, \[Zeta]s][P/.(zrule\[Union]\[Zeta]rule)]] ];


(* ::Input::Initialization:: *)
HL[\[ScriptCapitalE]_] := Style[\[ScriptCapitalE], Background -> Yellow];


(* ::Input::Initialization:: *)
Subscript[QZip, \[Zeta]s_List]@\[DoubleStruckCapitalE][L_,Q_,P_] :=Module[{\[Zeta],z,zs,c,ys,\[Eta]s,qt,zrule,\[Zeta]rule},
zs=Table[SuperStar[\[Zeta]],{\[Zeta],\[Zeta]s}];
c=CF[Q/.Alternatives@@(\[Zeta]s\[Union]zs)->0];
ys=CF@Table[\!\(
\*SubscriptBox[\(\[PartialD]\), \(\[Zeta]\)]\((Q /. Alternatives @@ zs -> 0)\)\),{\[Zeta],\[Zeta]s}];
\[Eta]s=CF@Table[\!\(
\*SubscriptBox[\(\[PartialD]\), \(z\)]\((Q /. Alternatives @@ \[Zeta]s -> 0)\)\),{z,zs}];
qt=CF@Inverse@Table[Subscript[K\[Delta], z,SuperStar[\[Zeta]]]-\!\(
\*SubscriptBox[\(\[PartialD]\), \(z, \[Zeta]\)]Q\),{\[Zeta],\[Zeta]s},{z,zs}];
zrule=Thread[zs->CF[qt.(zs+ys)]];
\[Zeta]rule=Thread[\[Zeta]s->\[Zeta]s+\[Eta]s.qt];
CF /@ \[DoubleStruckCapitalE][L,c+\[Eta]s.qt.ys,Det[qt]Subscript[Zip, \[Zeta]s][P/.(zrule\[Union]\[Zeta]rule)]] ];


(* ::Input::Initialization:: *)
U2l={\!\(
\*SubsuperscriptBox[\(B\), \(i_\), \(p_.\)] -> 
\*SuperscriptBox[\(E\), \(\(-p\)\ \[HBar]\ \[Gamma]\ 
\*SubscriptBox[\(b\), \(i\)]\)]\),B^p_.->E^(-p \[HBar] \[Gamma] b), \!\(
\*SubsuperscriptBox[\(T\), \(i_\), \(p_.\)] -> 
\*SuperscriptBox[\(E\), \(p\ \[HBar]\ 
\*SubscriptBox[\(t\), \(i\)]\)]\),T^p_.->E^(p \[HBar] t),\!\(
\*SubsuperscriptBox[\(\[ScriptCapitalA]\), \(i_\), \(p_.\)] -> 
\*SuperscriptBox[\(E\), \(p\ \[Gamma]\ 
\*SubscriptBox[\(\[Alpha]\), \(i\)]\)]\),\[ScriptCapitalA]^p_.->E^(p \[Gamma] \[Alpha])}; 
l2U={E^(c_. Subscript[b, i_]+d_.):>\!\(
\*SubsuperscriptBox[\(B\), \(i\), \(\(-c\)/\((\[HBar]\ \[Gamma])\)\)] 
\*SuperscriptBox[\(E\), \(d\)]\),E^(c_. b+d_.):>B^(-c/(\[HBar] \[Gamma])) E^d,
E^(c_. Subscript[t, i_]+d_.):>\!\(
\*SubsuperscriptBox[\(T\), \(i\), \(c/\[HBar]\)] 
\*SuperscriptBox[\(E\), \(d\)]\),E^(c_. t+d_.):>T^(c/\[HBar]) E^d,
E^(c_. Subscript[\[Alpha], i_]+d_.):>\!\(
\*SubsuperscriptBox[\(\[ScriptCapitalA]\), \(i\), \(c/\[Gamma]\)] 
\*SuperscriptBox[\(E\), \(d\)]\),E^(c_. \[Alpha]+d_.):>\[ScriptCapitalA]^(c/\[Gamma]) E^d,
E^\[ScriptCapitalE]_:>E^Expand@\[ScriptCapitalE]};


(* ::Input::Initialization:: *)
Subscript[LZip, \[Zeta]s_List]@\[DoubleStruckCapitalE][L_,Q_,P_] := Module[{\[Zeta],z,zs,c,ys,\[Eta]s,lt,zrule,L1,L2,Q1,Q2},
zs=Table[SuperStar[\[Zeta]],{\[Zeta],\[Zeta]s}];
c=L/.Alternatives@@(\[Zeta]s\[Union]zs)->0;
ys=Table[\!\(
\*SubscriptBox[\(\[PartialD]\), \(\[Zeta]\)]\((L /. Alternatives @@ zs -> 0)\)\),{\[Zeta],\[Zeta]s}];
\[Eta]s=Table[\!\(
\*SubscriptBox[\(\[PartialD]\), \(z\)]\((L /. Alternatives @@ \[Zeta]s -> 0)\)\),{z,zs}];
lt=Inverse@Table[Subscript[K\[Delta], z,SuperStar[\[Zeta]]]-\!\(
\*SubscriptBox[\(\[PartialD]\), \(z, \[Zeta]\)]L\),{\[Zeta],\[Zeta]s},{z,zs}];
zrule=Thread[zs->lt.(zs+ys)];
L2=(L1=c+\[Eta]s.zs/.zrule)/.Alternatives@@zs->0;
Q2=(Q1=Q/.U2l/.zrule)/.Alternatives@@zs->0;
CF /@ \[DoubleStruckCapitalE][L2,Q2,Det[lt]E^(-L2-Q2) Subscript[Zip, \[Zeta]s][E^(L1+Q1) (P/.U2l/.zrule)]]//.l2U ];


(* ::Input::Initialization:: *)
\!\(\*SubscriptBox[\(B\), \({}\)]\)[L_,R_]:=L R;
\!\(\*SubscriptBox[\(B\), \({is__}\)]\)[L_\[DoubleStruckCapitalE],R_\[DoubleStruckCapitalE]] := Module[{n},Times[
L/.Table[Subscript[(v:b|B|t|T|a|x|y), i]->Subscript[v, n@i],{i,{is}}],
R/.Table[Subscript[(v:\[Beta]|\[Tau]|\[Alpha]|\[ScriptCapitalA]|\[Xi]|\[Eta]), i]->Subscript[v, n@i],{i,{is}}]
] // Subscript[LZip, Join@@Table[{Subscript[\[Beta], n@i],Subscript[\[Tau], n@i],Subscript[a, n@i]},{i,{is}}]] // Subscript[QZip, Join@@Table[{Subscript[\[Xi], n@i],Subscript[y, n@i]},{i,{is}}]] ];
Subscript[B, is___][L_,R_]:=\!\(\*SubscriptBox[\(B\), \({is}\)]\)[L,R];


(* ::Input::Initialization:: *)
Subscript[B, is_List][Subscript[\[DoubleStruckCapitalE], d1_->r1_][L1_,Q1_,P1_],Subscript[\[DoubleStruckCapitalE], d2_->r2_][L2_,Q2_,P2_]]:=Subscript[\[DoubleStruckCapitalE], (d1\[Union]Complement[d2,is])->(r2\[Union]Complement[r1,is])]@@Subscript[B, is][\[DoubleStruckCapitalE][L1,Q1,P1],\[DoubleStruckCapitalE][L2,Q2,P2]];
Subscript[\[DoubleStruckCapitalE], d1_->r1_][L1_,Q1_,P1_]//Subscript[\[DoubleStruckCapitalE], d2_->r2_][L2_,Q2_,P2_] := Subscript[B, r1\[Intersection]d2][Subscript[\[DoubleStruckCapitalE], d1->r1][L1,Q1,P1],Subscript[\[DoubleStruckCapitalE], d2->r2][L2,Q2,P2]];
Subscript[\[DoubleStruckCapitalE], d1_->r1_][L1_,Q1_,P1_]\[Congruent]Subscript[\[DoubleStruckCapitalE], d2_->r2_][L2_,Q2_,P2_] ^:= (d1==d2)\[And](r1==r2)\[And](\[DoubleStruckCapitalE][L1,Q1,P1]\[Congruent]\[DoubleStruckCapitalE][L2,Q2,P2]);
Subscript[\[DoubleStruckCapitalE], d1_->r1_][L1_,Q1_,P1_]Subscript[\[DoubleStruckCapitalE], d2_->r2_][L2_,Q2_,P2_] ^:= Subscript[\[DoubleStruckCapitalE], (d1\[Union]d2)->(r1\[Union]r2)]@@(\[DoubleStruckCapitalE][L1,Q1,P1]\[DoubleStruckCapitalE][L2,Q2,P2]);
Subscript[Subscript[\[DoubleStruckCapitalE], d_->r_][L_,Q_,P_], $k_]:=Subscript[\[DoubleStruckCapitalE], d->r]@@Subscript[\[DoubleStruckCapitalE][L,Q,P], $k];
Subscript[\[DoubleStruckCapitalE], _][\[ScriptCapitalE]___][i_]:={\[ScriptCapitalE]}[[i]];


(* ::Input::Initialization:: *)
SetAttributes[Define, HoldAll];
Define[def_,defs__] := (Define[def]; Define[defs];);


(* ::Input::Initialization:: *)
Define[Subscript[op_, is__]=\[ScriptCapitalE]_] := Module[{SD,ii,jj,kk,isp,nis,nisp,sis},Block[{i,j,k},
ReleaseHold[Hold[
SD[Subscript[op, nisp,$k_Integer],Block[{i,j,k},Subscript[op, isp,$k]=\[ScriptCapitalE];Subscript[op, nis,$k]]];
SD[Subscript[op, isp],\!\(\*SubscriptBox[\(op\), \({is}, $k\)]\)]; SD[Subscript[op, sis__],\!\(\*SubscriptBox[\(op\), \({sis}\)]\)];
]/. {SD->SetDelayed,
isp->{is}/.{i->i_,j->j_,k->k_},
nis->{is}/.{i->ii,j->jj,k->kk},
nisp->{is}/.{i->ii_,j->jj_,k->kk_}
}]  ]]


(* ::Input::Initialization:: *)
Define[Subscript[am, i,j->k]=Subscript[\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({i, j} \[Rule] {k}\)]\)[(Subscript[\[Alpha], i]+Subscript[\[Alpha], j])Subscript[a, k],(E^(-\[Gamma] Subscript[\[Alpha], j]) Subscript[\[Xi], i]+Subscript[\[Xi], j])Subscript[x, k],1], $k],
Subscript[bm, i,j->k]=Subscript[\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({i, j} \[Rule] {k}\)]\)[(Subscript[\[Beta], i]+Subscript[\[Beta], j])Subscript[b, k],(Subscript[\[Eta], i]+Subscript[\[Eta], j])Subscript[y, k],E^((E^(- \[Epsilon] Subscript[\[Beta], i])-1)Subscript[\[Eta], j] Subscript[y, k])], $k]]


(* ::Input::Initialization:: *)
Define[Subscript[R, i,j]=
Subscript[\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({} \[Rule] {i, j}\)]\)[\[HBar] Subscript[a, j] Subscript[b, i],\[HBar] Subscript[x, j] Subscript[y, i],E^(\!\(
\*UnderoverscriptBox[\(\[Sum]\), \(k = 2\), \($k + 1\)]\ 
\*FractionBox[\(
\*SuperscriptBox[\((1 - 
\*SuperscriptBox[\(E\), \(\[Gamma]\ \[Epsilon]\ \[HBar]\)])\), \(k\)] 
\*SuperscriptBox[\((\[HBar]\ 
\*SubscriptBox[\(y\), \(i\)] 
\*SubscriptBox[\(x\), \(j\)])\), \(k\)]\), \(k \((1 - 
\*SuperscriptBox[\(E\), \(k\ \[Gamma]\ \[Epsilon]\ \[HBar]\)])\)\)]\))], $k]]


(* ::Input::Initialization:: *)
Define[Subscript[\!\(\*OverscriptBox[\(R\), \(_\)]\), i,j]=\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({} \[Rule] {i, j}\)]\)[-\[HBar] Subscript[a, j] Subscript[b, i],-\[HBar] Subscript[x, j] Subscript[y, i]/Subscript[B, i],
1+If[$k==0, 0,Subscript[(\!\(\*SubscriptBox[
OverscriptBox[\(R\), \(_\)], \({i, j}, $k - 1\)]\)), $k][3]-
((Subscript[(\!\(\*SubscriptBox[
OverscriptBox[\(R\), \(_\)], \({i, j}, 0\)]\)), $k] Subscript[R, 1,2] Subscript[(\!\(\*SubscriptBox[
OverscriptBox[\(R\), \(_\)], \({3, 4}, $k - 1\)]\)), $k])//(Subscript[bm, i,1->i] Subscript[am, j,2->j])//(Subscript[bm, i,3->i] Subscript[am, j,4->j]))[3]]],
Subscript[P, i,j]=\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({i, j} \[Rule] {}\)]\)[Subscript[\[Beta], i]Subscript[\[Alpha], j]/\[HBar],Subscript[\[Eta], i]Subscript[\[Xi], j]/\[HBar],1+If[$k==0,0,Subscript[(\!\(\*SubscriptBox[\(P\), \({i, j}, $k - 1\)]\)), $k][3]-
(Subscript[R, 1,2]//(Subscript[(\!\(\*SubscriptBox[\(P\), \({1, j}, 0\)]\)), $k] Subscript[(\!\(\*SubscriptBox[\(P\), \({i, 2}, $k - 1\)]\)), $k]))[3]]]]


(* ::Input::Initialization:: *)
Define[Subscript[aS, j]=Subscript[\!\(\*OverscriptBox[\(R\), \(_\)]\), i,j]~Subscript[B, i]~Subscript[P, i,j],
Subscript[\!\(\*OverscriptBox[\(aS\), \(_\)]\), i]=\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({i} \[Rule] {i}\)]\)[-Subscript[a, i] Subscript[\[Alpha], i],-Subscript[x, i] Subscript[\[ScriptCapitalA], i] Subscript[\[Xi], i],1+If[$k==0, 0,Subscript[(\!\(\*SubscriptBox[
OverscriptBox[\(aS\), \(_\)], \({i}, $k - 1\)]\)), $k][3]-
(Subscript[(\!\(\*SubscriptBox[
OverscriptBox[\(aS\), \(_\)], \({i}, 0\)]\)), $k]~Subscript[B, i]~Subscript[aS, i]~Subscript[B, i]~Subscript[(\!\(\*SubscriptBox[
OverscriptBox[\(aS\), \(_\)], \({i}, $k - 1\)]\)), $k])[3]]]]


(* ::Input::Initialization:: *)
Define[Subscript[bS, i]=Subscript[R, i,1]~Subscript[B, 1]~Subscript[aS, 1]~Subscript[B, 1]~Subscript[P, i,1],
Subscript[\!\(\*OverscriptBox[\(bS\), \(_\)]\), i]=Subscript[R, i,1]~Subscript[B, 1]~Subscript[\!\(\*OverscriptBox[\(aS\), \(_\)]\), 1]~Subscript[B, 1]~Subscript[P, i,1],
Subscript[a\[CapitalDelta], i->j,k]=(Subscript[R, 1,j] Subscript[R, 2,k])//Subscript[bm, 1,2->3]//Subscript[P, 3,i],
Subscript[b\[CapitalDelta], i->j,k]=(Subscript[R, j,1] Subscript[R, k,2])//Subscript[am, 1,2->3]//Subscript[P, i,3]]


(* ::Input::Initialization:: *)
Define[Subscript[dm, i,j->k]=(\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({i, j} \[Rule] {i, j}\)]\)[Subscript[\[Beta], i] Subscript[b, i] + Subscript[\[Alpha], j] Subscript[a, j],Subscript[\[Eta], i] Subscript[y, i]+Subscript[\[Xi], j] Subscript[x, j],1](Subscript[a\[CapitalDelta], i->1,2]//Subscript[a\[CapitalDelta], 2->2,3]//Subscript[\!\(\*OverscriptBox[\(aS\), \(_\)]\), 3])(Subscript[b\[CapitalDelta], j->-1,-2]//Subscript[b\[CapitalDelta], -2->-2,-3]))//(Subscript[P, -1,3] Subscript[P, -3,1] Subscript[am, 2,j->k] Subscript[bm, i,-2->k]),
Subscript[dS, i]=\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({i} \[Rule] {1, 2}\)]\)[Subscript[\[Beta], i] Subscript[b, 1]+Subscript[\[Alpha], i] Subscript[a, 2],Subscript[\[Eta], i] Subscript[y, 1]+Subscript[\[Xi], i] Subscript[x, 2],1]//(Subscript[\!\(\*OverscriptBox[\(bS\), \(_\)]\), 1] Subscript[aS, 2])//Subscript[dm, 2,1->i],
Subscript[d\[CapitalDelta], i->j,k]=(Subscript[b\[CapitalDelta], i->3,1] Subscript[a\[CapitalDelta], i->2,4])//(Subscript[dm, 3,4->k] Subscript[dm, 1,2->j])]


(* ::Input::Initialization:: *)
Define[Subscript[C, i]=Subscript[\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({} \[Rule] {i}\)]\)[0,0,\!\(
\*SubsuperscriptBox[\(B\), \(i\), \(1/2\)] 
\*SuperscriptBox[\(E\), \(\(-\[HBar]\)\ \[Epsilon]\ 
\*SubscriptBox[\(a\), \(i\)]/2\)]\)], $k],
Subscript[\!\(\*OverscriptBox[\(C\), \(_\)]\), i]=Subscript[\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({} \[Rule] {i}\)]\)[0,0,\!\(
\*SubsuperscriptBox[\(B\), \(i\), \(\(-1\)/2\)] 
\*SuperscriptBox[\(E\), \(\[HBar]\ \[Epsilon]\ 
\*SubscriptBox[\(a\), \(i\)]/2\)]\)], $k],
Subscript[Kink, i] = (Subscript[R, 1,3] Subscript[\!\(\*OverscriptBox[\(C\), \(_\)]\), 2])//Subscript[dm, 1,2->1]//Subscript[dm, 1,3->i],
Subscript[\!\(\*OverscriptBox[\(Kink\), \(_\)]\), i] = (Subscript[\!\(\*OverscriptBox[\(R\), \(_\)]\), 1,3] Subscript[C, 2])//Subscript[dm, 1,2->1]//Subscript[dm, 1,3->i]]


(* ::Input::Initialization:: *)
Define[Subscript[b2t, i]=Subscript[\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({i} \[Rule] {i}\)]\)[Subscript[\[Alpha], i] Subscript[a, i]-Subscript[\[Beta], i]Subscript[t, i]/\[Gamma],Subscript[\[Xi], i] Subscript[x, i]+Subscript[\[Eta], i] Subscript[y, i],E^(\[Epsilon] Subscript[\[Beta], i]Subscript[a, i]/\[Gamma])], $k],
Subscript[t2b, i]=Subscript[\!\(\*SubscriptBox[\(\[DoubleStruckCapitalE]\), \({i} \[Rule] {i}\)]\)[Subscript[\[Alpha], i] Subscript[a, i]-Subscript[\[Tau], i]\[Gamma] Subscript[b, i],Subscript[\[Xi], i] Subscript[x, i]+Subscript[\[Eta], i] Subscript[y, i],E^(\[Epsilon] Subscript[\[Tau], i] Subscript[a, i])], $k]]


(* ::Input::Initialization:: *)
Define[Subscript[kR, i,j]=Subscript[R, i,j]//(Subscript[b2t, i] Subscript[b2t, j]) /. Subscript[t, i|j]->t,
Subscript[\!\(\*OverscriptBox[\(kR\), \(_\)]\), i,j]=Subscript[\!\(\*OverscriptBox[\(R\), \(_\)]\), i,j]//(Subscript[b2t, i] Subscript[b2t, j]) /. {Subscript[t, i|j]->t,Subscript[T, i|j]->T},
Subscript[km, i,j->k]=(Subscript[t2b, i] Subscript[t2b, j])//Subscript[dm, i,j->k]//Subscript[b2t, k] /. {Subscript[t, k]->t, Subscript[T, k]->T,Subscript[\[Tau], i|j]->0},
Subscript[kC, i]=Subscript[C, i]//Subscript[b2t, i] /. Subscript[T, i]->T, Subscript[\!\(\*OverscriptBox[\(kC\), \(_\)]\), i]=Subscript[\!\(\*OverscriptBox[\(C\), \(_\)]\), i]//Subscript[b2t, i] /. Subscript[T, i]->T,
Subscript[kKink, i]=Subscript[Kink, i]//Subscript[b2t, i] /. {Subscript[t, i]->t, Subscript[T, i]->T},
Subscript[\!\(\*OverscriptBox[\(kKink\), \(_\)]\), i]=Subscript[\!\(\*OverscriptBox[\(Kink\), \(_\)]\), i]//Subscript[b2t, i] /. {Subscript[t, i]->t, Subscript[T, i]->T}]



