English

Dual algebraic structures for the two-level pairing model

Quantum Physics 2012-03-23 v1 Nuclear Theory

Abstract

Duality relations are explicitly established relating the Hamiltonians and basis classification schemes associated with the number-conserving unitary and number-nonconserving quasispin algebras for the two-level system with pairing interactions. These relations are obtained in a unified formulation for both bosonic and fermionic systems, with arbitrary and, in general, unequal degeneracies for the two levels. Illustrative calculations are carried out comparing the bosonic and fermionic quantum phase transitions.

Keywords

Cite

@article{arxiv.1102.1482,
  title  = {Dual algebraic structures for the two-level pairing model},
  author = {M. A. Caprio and J. H. Skrabacz and F. Iachello},
  journal= {arXiv preprint arXiv:1102.1482},
  year   = {2012}
}

Comments

34 pages, 5 figures; published in J. Phys. A

R2 v1 2026-06-21T17:23:03.241Z