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arXiv:1406.4094 · Annals of Physics

Seniority in quantum many-body systems. I. Identical particles in a single shell

P. Van Isacker, S. Heinze

Published Jun 17, 2014• 33 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2014.06.011

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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.