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...

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Published inNuclear physics. A Vol. 607; no. 1; pp. 23 - 42
Main Authors Navrátil, P., Geyer, H.B., Dobaczewski, J.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 09.09.1996
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Summary: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.
ISSN:0375-9474
DOI:10.1016/0375-9474(96)00228-X