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【SEOtext】0. General Formulation, (iii) Treatment of Complex Variables, Consider the special case: n=2, L(x1,x2;y1,y2)=Lc(z(x1,x2),z†(x1,x2);z(y1,y2),z†(y1,y2)) where: Lc∈C(C4), z∈C(R2), Lc(ξ,ξ†;η,η†)∈R, ξ,η∈C, z(x1,x2)=(x1+ix2)/√2, a. Euler-Lagrange Equation, δI(q)/δqj(t)=0⇔{∂Lc(u(t),u†(t);∂0u(t),∂0u†(t))/∂u(t)-d/dt∂Lc(u(t),u†(t);∂0u(t),∂0u†(t))/∂[∂0u(t)]=0,Lc(u(t),u†(t);∂0u(t),∂0u†(t))/∂u†(t)-d/dtLc(u(t),u†(t);∂0u(t),∂0u†(t))/∂[∂0u†(t)]=0 where: u(t)=z(q1(t),q2(t)), b. Conserved Charge, Q(t;q)=Qc(t;u)=∂t'(t;ε)/∂ε|ε=0Lc(u(t),u†(t);∂0u(t),∂0u†(t))+∂u'(t;u,ε)/∂ε|ε=0∂Lc(u(t),u†(t);∂0u(t),∂0u†(t))/∂[∂0u(t)]+∂u'†(t;u,ε)/∂ε|ε=0∂Lc(u(t),u†(t);∂0u(t),∂0u†(t))/∂[∂0u†(t)] where: u(t)=z(q1(t),q2(t)), u'(t;u,ε)=z(q'1(t;q,ε),q'2(t;q,ε))