Fermion-boson interactions and quantum algebras

2002/12/04 by A. Ballesteros, Ángel Ballesteros, O. Civitarese +3
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Geometry #Ground state #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Symmetry (geometry) #Theoretical physics #Translational symmetry #nucl-th

paper · pdf · doi:10.1103/physrevc.66.064317

published as Phys.Rev. C66 (2002) 064317 · 20 pages, 10 figures. Physical Review C (in press)

arxiv created 2002/12/04 · openalex publication_date 2002/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum algebras (q algebras) are used to describe interactions between fermions and bosons. Particularly, the concept of a su_q(2) dynamical symmetry is invoked in order to reproduce the ground state properties of systems of fermions and bosons interacting via schematic forces. The structure of the proposed su_q(2) Hamiltonians, and the meaning of the corresponding deformation parameters, are discussed.

Citations

• Validity of many-body approximation methods for a solvable model
• Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. I: The Case of Many-Body Systems Consisting of One Kind of Boson Operator
• The light-baryon spectrum in a relativistic quark model with instanton-induced quark forces
• Many-body band structure and Fermi surface of the Kondo lattice
• Glueball Spectroscopy in a Relativistic Many-Body Approach to Hadronic Structure
• Hybrid meson decay phenomenology
• Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. II: Deformation of the su(2)- and the su(1,1)-Algebras in the Schwinger Boson Representation

Cited by

• Quantum calculus of Fibonacci divisors and infinite hierarchy of Bosonic–Fermionic Golden quantum oscillators