Seniority in quantum many-body systems

P. Van Isacker

doi:10.1063/1.3537842

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arXiv · 1010.2415

Seniority in quantum many-body systems

P. Van Isacker

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Abstract

The use of the seniority quantum number in many-body systems is reviewed. A brief summary is given of its introduction by Racah in the context of atomic spectroscopy. Several extensions of Racah's original idea are discussed: seniority for identical nucleons in a single-$j$ shell, its extension to the case of many, non-degenerate $j$ shells and to systems with neutrons and protons. To illustrate its usefulness to this day, a recent application of seniority is presented in Bose--Einstein condensates of atoms with spin.

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P. Van Isacker. 2010-10-12. Seniority in quantum many-body systems. https://doi.org/10.1063/1.3537842

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