2015/01/06 by Y. Tsue, Constança Providência, C. Providencia +3 · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Boson #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Interacting boson model #Mathematical physics #Mathematics #Mechanical and Optical Resonators #Particle physics #Physics #Pure mathematics #Quantum Mechanics and Applications #Quantum mechanics #Realization (probability) #Representation (politics) #Scalar boson #Statistics #Theoretical physics #nucl-th
paper · pdf · doi:10.1093/ptep/ptv069
published in Progress of Theoretical and Experimental Physics 2015(6), 63D01-0 (University of Oxford) · 7 pages, no figure
arxiv created 2015/01/06 · openalex publication_date 2015/06/01 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A new boson representation of the |su(2)|-algebra proposed by the present authors for describing the damped and amplified oscillator is examined in the Lipkin model as one of the simple many-fermion models. This boson representation is expressed in terms of two kinds of bosons with a certain positive parameter. In order to describe the case of any fermion number, a third boson is introduced. Through this examination, it is concluded that this representation is very workable for the boson realization of the Lipkin model in any fermion number.