γ Z0
νL;sinθW0-cosθB0 cosθW0+sinθB0
=U(sqrt(3)-sqrt(3))/2 =U(1+3+4)/sqrt(20)
=0 =4U/sqrt(5)
eL ;-sinθW0-cosθB0 -cosθW0+sinθB0
=U(-sqrt(3)-sqrt(3))/2 =U(-1+3-4)/sqrt(20)
=-sqrt(3)U =-U/sqrt(5)
eR ;-2cosθB0 2sinθB0
=U(-sqrt(3)-sqrt(3))/2 =U(-1+3+4)/sqrt(20)
=-sqrt(3)U =3U/sqrt(5)
γ;sinθW0=cosθB0 => B0=W0sinθ/cosθ=sqrt(3)U/(2cosθ)
B0=sqrt(3)U/(2cosθ) , W0=sqrt(3)U/(2sinθ)
Z0-eR ;2sinθB0=2sinθsqrt(3)U/(2cosθ)
=3U/sqrt(5)
=> tanθ=sqrt(3/5)
=> sin2θ/cos2θ=3/5
=> 5sin2θ=3cos2θ=3-3sin2θ
=> sin2θ=3/8
Z0-νL;cosθW0+sinθB0
=cosθsqrt(3)U/(2sinθ)+sinθsqrt(3)U/(2cosθ)
=Usqrt(3)/2*(cosθ/sinθ+sinθ/cosθ)
=Usqrt(3)/2*(sqrt(15)/3+3/sqrt(15))
=U(sqrt(5)+3/sqrt(5))/2
=U(5+3)/(2sqrt(5))=4U/sqrt(5) ; OK
Z0-eL ;-cosθW0+sinθB0
=-cosθsqrt(3)U/(2sinθ)+sinθsqrt(3)U/(2cosθ)
=Usqrt(3)(-cosθ/sinθ+sinθ/cosθ)/2
=Usqrt(3)(-sqrt(15)/3+3/sqrt(15))/2
=U(-sqrt(5)+3/sqrt(5))/2
=U(-5+3)/(2sqrt(5))=-U/sqrt(5) ; OK
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