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【SEOtext】0. General Formulation, a. Euclidean Invariance, If q'i(t)=E(qi(t)) then: ∀E∈E; I(q'1,q'2)=I(q1,q2) b. Time-Displacement Invariance, If q'i(t)=qi(t-τ) then: ∀τ∈R; I(q'1,q'2)=I(q1,q2) c. Time-Reversal Invariance, If q'i(t)=qi(-t) then: I(q'1,q'2)=I(q1,q2) 4. Application of Noether's Theorem {q'j(t'(t;ε);q1,q2;ε)=[exp(-iεθL-iεaP)](qj(t)), t'(t;ε)=t+εa0, Q(t;q1,q2)=-a0{(m/2)[(∂0q1(t))2+(∂0q2(t))2]+V([q1(t)-q2(t)]2)}+akm[∂0qk1(t)+∂0qk2(t)]-θjmεjkl[∂0qk1(t)・ql1(t)+∂0qk2(t)・ql2(t)] {Q0a(t;q1,q2)=(m/2)[(∂0q1(t))2+(∂0q2(t))2]+V([q1(t)-q2(t)]2), Qka(t;q1,q2)=m[∂0qk1(t)+∂0qk2(t)], Qjθ(t;q1,q2)=mεjkl[qk1(t)∂0ql1(t)+qk2(t)∂0ql2(t)]