Boson-fermion mapping of collective fermion-pair algebras.
نویسندگان
چکیده
We construct finite Dyson boson-fermion mappings of general collective algebras extended by single-fermion operators. A key element in the construction is the implementation of a similarity transformation which transforms boson-fermion images obtained directly from the supercoherent state method. In addition to the general construction, we give detailed applications to SO(2N), SU(l+1), SO(5), and SO(8) algebras. PACS Numbers 21.60.Ev, 21.60.Cs, 21.60.Fw Typeset using REVTEX
منابع مشابه
Ju n 19 96 Boson - fermion mapping and dynamical supersymmetry in fermion models
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 ...
متن کاملBoson-fermion Dyson mapping and supersymmetry in fermion systems
We demonstrate that exact supersymmetry can emerge in a purely fermionic system. This “supersymmetry without bosons” is unveiled by constructing a novel boson-fermion Dyson mapping from a fermion space to a space comprised of collective bosons and ideal fermions. In a nuclear structure context the collective spectra of even and odd nuclei can then be unified in a supersymmetric description with...
متن کاملExact, finite, and Hermitian fermion-pair-to-boson mapping
We discuss a general, exact (in that matrix elements are preserved) mapping of fermion pairs to bosons, and find a simple factorization of the boson representation of fermion operators. This leads to boson Hamiltonians that are Hermitian and finite, with no more than two-body operators if the fermion Hamiltonian has at most two-body operators, and one-body boson transition operators if the ferm...
متن کامل53 v 1 2 3 O ct 1 99 7 Boson mappings and four - particle correlations in algebraic neutron - proton pairing models
Neutron-proton pairing correlations are studied within the context of two solvable models, one based on the algebra SO(5) and the other on the algebra SO(8). Boson-mapping techniques are applied to these models and shown to provide a convenient methodological tool both for solving such problems and for gaining useful insight into general features of pairing. We first focus on the SO(5) model, w...
متن کاملar X iv : n uc l - th / 9 30 30 26 v 1 3 1 M ar 1 99 3 Boson - fermion mappings for odd systems from supercoherent states
We extend the formalism whereby boson mappings can be derived from generalized coherent states to boson-fermion mappings for systems with an odd number of fermions. This is accomplished by constructing supercoherent states in terms of both complex and Grassmann variables. In addition to a known mapping for the full so(2N+1) algebra, we also uncover some other formal mappings, together with mapp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. C, Nuclear physics
دوره 52 3 شماره
صفحات -
تاریخ انتشار 1995