Boson-fermion mapping and dynamical supersymmetry in fermion models
Abstract We show that a dynamical supersymmetry can appear in a purely fermionic system. This “supersymmetry without bosons” is constructed by application of a recently introduced boson-fermion Dyson mapping from a fermion space to a space comprised of collective bosons and ideal fermions. In some algebraic fermion models of nuclear structure, particular Hamiltonians may lead to collective spectra of even and odd nuclei that can be unified using the dynamical supersymmetry concept with Pauli correlations exactly taken into account.
Fermion-boson interactions in a solvable model
The interplay between fermionic and bosonic degrees of freedom, in the context of many-body systems and with reference to applications in nuclear and elementary particle physics, is revisited. Starting from the formulation due to Geyer, Hahne, and co-workers, bifermion operators which obey bosonic transformation rules are introduced. Fermion-boson coupling terms are included in the original Hamiltonian. Exact solutions to this Hamiltonian are compared to approximate ones. The occurrence of fermion and boson condensates is discussed. @S0556-2813~98!03411-6#
Nuclear field theory
Abstract The nuclear spectrum is described in terms of elementary modes of excitation comprising pairing and surface vibrations and single-particle degrees of freedom. A unified theory of the mutual interweaving of these excitations which makes use of many-body field theoretical concepts is reviewed. The theory is illustrated through the study of the nuclear structure of 209 Bi.