English

Seniority in quantum many-body systems

Nuclear Theory 2011-02-02 v1 Quantum Gases Atomic Physics

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-jj shell, its extension to the case of many, non-degenerate jj 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.

Cite

@article{arxiv.1010.2415,
  title  = {Seniority in quantum many-body systems},
  author = {P. Van Isacker},
  journal= {arXiv preprint arXiv:1010.2415},
  year   = {2011}
}

Comments

16 pages, 1 figure, accepted for publication in the Proceedings of The American Institute of Physics

R2 v1 2026-06-21T16:27:22.987Z