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Patrick Cassam-Chenaï

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•First •Prev •Next •Last •Go Back •Full Screen •Close •Quit Graded Orthogonality for Fermionic States Patrick CASSAM-CHENAI Laboratoire J. A. Dieudonne, UMR-6621 du CNRS et de l' Universite de Nice - Sophia-Antipolis Nice, October 2007

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Sujets

• Product
• Function

Informations

• Publié par: pefav
• Nombre de lectures: 37

Extrait

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LaboratoireJ.A.Dieudonne´,UMR-6621duCNRS etdel’Universite´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(ψ i ) i

Notation-1

•∧ n 1 H ⊗ ∙ ∙ ∙ ⊗ ∧ n k H: Hilbert space of partially antisymmetric functions forkdistinguishable groups of electrons of respectivelyn 1      n k electrons

•∧ n H: Hilbert space ofn-electron antisymmetric functions, spanned by the Slater determinantal functions(ψ i 1 ∧ψ i 2 ∧ ∙ ∙ ∙ ∧ψ i n ) (i 1 <i 2 <∙∙∙<i n )

•∧H Fock space: Fermionic ∧H:= M ∧ n H n≥0