Geometric Measure of Indistinguishability for Groups of Identical Particles

Details Geometric Measure of Indistinguishability for Groups of Identical Particles Geometric Measure of Indistinguishability for Groups of Identical Particles

2007-09-25

arxiv.org/abs/0709.3951v1

Physical Review A: Atomic, Molecular and Optical Physics 77, 3 (2008) 032103

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.77.032103

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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