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.

Verify the identity for Slater determinants,

    $\displaystyle \langle \xi_1,...,\xi_N \vert\nu_1,...,\nu_N\rangle_A
\equiv
\fra...
...t{N!}}\sum_p {\rm sign}(p) \psi_{\nu_1}( \xi_{p(1)})...\psi_{\nu_N}(\xi_{p(N)})$  
  $\displaystyle =$ $\displaystyle \frac{1}{\sqrt{N!}}\sum_p {\rm sign}(p) \psi_{\nu_{p(1)}}( \xi_1)...\psi_{\nu_{p(N)}}(\xi_N).$ (3.1)

by explicit calculation for \bgroup\color{col1}$ N=3$\egroup Fermions.



Tobias Brandes 2005-04-26