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LaboratoireJ.A.Dieudonne´,UMR-6621duCNRS etdelUniversite´deNice-Sophia-Antipolis
Graded Orthogonality for Fermionic States
¨ Patrick CASSAM-CHENAI
Nice, October 2007
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Hone-electron functions, spanned by a set of space of : Hilbert spin-orbitals(ψi)i
Notation-1
n1H ⊗ ∙ ∙ ∙ ⊗ ∧nkH: Hilbert space of partially antisymmetric functions forkdistinguishable groups of electrons of respectivelyn1     nkelectrons
nH: Hilbert space ofn-electron antisymmetric functions, spanned by the Slater determinantal functions(ψi1ψi2∧ ∙ ∙ ∙ ∧ψin)(i1<i2<∙∙∙<in)
∧H Fock space: Fermionic ∧H:=MnH n0