Boson-fermion mapping of collective fermion-pair algebras

P. Navrátil; H. B. Geyer; J. Dobaczewski

doi:10.1103/PhysRevC.52.1394

Boson-fermion mapping of collective fermion-pair algebras

P. Navrátil, H. B. Geyer, and J. Dobaczewski

Phys. Rev. C 52, 1394 – Published 1 September 1995

Abstract

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.

Received 10 April 1995

DOI:https://doi.org/10.1103/PhysRevC.52.1394

Authors & Affiliations

P. Navrátil

Institute of Theoretical Physics, University of Stellenbosch, 7599 Stellenbosch, South Africa
Institute of Nuclear Physics, Czech Academy of Sciences, 250 68 Řež near Prague, Czech Republic

H. B. Geyer

Institute of Theoretical Physics, University of Stellenbosch, 7599 Stellenbosch, South Africa

J. Dobaczewski

Institute of Theoretical Physics, University of Stellenbosch, 7599 Stellenbosch, South Africa
Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, PL–00-681 Warsaw, Poland

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Vol. 52, Iss. 3 — September 1995

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Physical Review C

covering nuclear physics