Geometric Measure of Indistinguishability for Groups of Identical Particles - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2008

Geometric Measure of Indistinguishability for Groups of Identical Particles

Résumé

The concept of p-orthogonality (1=< p =< n) between n-particle states is introduced. It generalizes common orthogonality, which is equivalent to n-orthogonality, and strong orthogonality between fermionic states, which is equivalent to 1-orthogonality. Within the class of non p-orthogonal states a finer measure of non p-orthogonality is provided by Araki's angles between p-internal spaces. The p-orthogonality concept is a geometric measure of indistinguishability that is independent of the representation chosen for the quantum states. It induces a new hierarchy of approximations for group function methods. The simplifications that occur in the calculation of matrix elements between p-orthogonal group functions are presented.
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Dates et versions

hal-00174659 , version 1 (25-09-2007)

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Patrick Cassam-Chenaï. Geometric Measure of Indistinguishability for Groups of Identical Particles. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2008, 77 (3), pp.032103. ⟨10.1103/PhysRevA.77.032103⟩. ⟨hal-00174659⟩
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