dorsal/arxiv
View SchemaBoson-fermion mapping and dynamical supersymmetry in fermion models
| Authors | P Navratil, H B Geyer, J Dobaczewski |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9606043 |
| URL | https://arxiv.org/abs/nucl-th/9606043 |
| DOI | 10.1016/0375-9474(96)00228-X |
| Journal | Nucl.Phys. A607 (1996) 23-42 |
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.
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"abstract": "We show that a dynamical supersymmetry can appear in a purely fermionic\nsystem. This ``supersymmetry without bosons\" is constructed by application of a\nrecently introduced boson-fermion Dyson mapping from a fermion space to a space\ncomprised of collective bosons and ideal fermions. In some algebraic fermion\nmodels of nuclear structure, particular Hamiltonians may lead to collective\nspectra of even and odd nuclei that can be unified using the dynamical\nsupersymmetry concept with Pauli correlations exactly taken into account.",
"arxiv_id": "nucl-th/9606043",
"authors": [
"P Navratil",
"H B Geyer",
"J Dobaczewski"
],
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],
"doi": "10.1016/0375-9474(96)00228-X",
"journal_ref": "Nucl.Phys. A607 (1996) 23-42",
"title": "Boson-fermion mapping and dynamical supersymmetry in fermion models",
"url": "https://arxiv.org/abs/nucl-th/9606043"
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