Pauli exclusion principle between 2 identical fermions

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hi,

can we say that the Pauli exclusion principle between 2 identical fermions implies logically entanglement because of the antisymmetric wavefunction, that can not be factorized as a tensor product:

http://en.wikipedia.org/wiki/Slater_determinant
"However, it is not satisfactory for fermions, such as electrons, because the wave function is not antisymmetric"

?
thank you
 
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thank you very much for the link, but I was wondering if the exclusion principle implies logically entanglement for 2 identical fermions.
thank you!
 
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The lesser Green's function is defined as: $$G^{<}(t,t')=i\langle C_{\nu}^{\dagger}(t')C_{\nu}(t)\rangle=i\bra{n}C_{\nu}^{\dagger}(t')C_{\nu}(t)\ket{n}$$ where ##\ket{n}## is the many particle ground state. $$G^{<}(t,t')=i\bra{n}e^{iHt'}C_{\nu}^{\dagger}(0)e^{-iHt'}e^{iHt}C_{\nu}(0)e^{-iHt}\ket{n}$$ First consider the case t <t' Define, $$\ket{\alpha}=e^{-iH(t'-t)}C_{\nu}(0)e^{-iHt}\ket{n}$$ $$\ket{\beta}=C_{\nu}(0)e^{-iHt'}\ket{n}$$ $$G^{<}(t,t')=i\bra{\beta}\ket{\alpha}$$ ##\ket{\alpha}##...

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