Help about the Nonequilibrium Green's Function

snooper007
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help about the Nonequilibrium Green's Function
in H. Haug and A.-P. Jauho Book
Quantum kinetics in transport and Optics of Semiconductors
Eq.(4.31)

C^r(t,t')=A^<(t,t')B^r(t,t')+A^r(t,t')B^<(t,t')+A^r(t,t')B^r(t,t')

I can not derive this equation, my result has a extra term \theta(t-t')
i.e.
C^r(t,t')=\theta(t-t')[A^<(t,t')B^r(t,t')+A^r(t,t')B^<(t,t')+A^r(t,t')B^r(t,t')]
 
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I have understood this problem
 
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