Fermion-Boson Interactions and Quantum Algebras

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.

20 pages, 10 figures. Physical Review C (in press)

References in corpus (6)

• The light baryon spectrum in a relativistic quark model with instanton-induced quark forces I. The non-strange baryon spectrum and ground-states
• The light baryon spectrum in a relativistic quark model with instanton-induced quark forces II. The strange baryon spectrum
• Relativistic quark models of baryons with instantaneous forces
• Deformations of the fermion realization of the sp(4) algebra and its subalgebras
• Deformed Boson Scheme in Time-Dependent Variational Method. II
• Deformed Boson Scheme in Time-Dependent Variational Method. I

Cited by in corpus (11)

• Physical Significance of q Deformation and Many-Body Interactions in Nuclei
• Golden Quantum Oscillator and Binet-Fibonacci Calculus
• High temperature behavior of a deformed Fermi gas obeying interpolating statistics
• A comparative study on q-deformed fermion oscillators
• Quantum Calculus of Fibonacci Divisors and Infinite Hierarchy of Bosonic-Fermionic Golden Quantum Oscillators
• Analytical Solutions of Klein-Gordon Equation with Position-Dependent Mass for q-Parameter Poschl-Teller potential
• Contractions, deformations and curvature
• Effective su_q(2) models and polynomial algebras for fermion-boson Hamiltonians
• Coherent and squeezed states of quantum Heisenberg algebras
• Coherent State on SUq(2) Homogeneous Space
• Generalized Buchdahl equations as Lie-Hamilton systems from the 'book' and oscillator algebras: Quantum deformations and their general solution