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Phys. Rev. C 52, 1394–1406 (1995)

Boson-fermion mapping of collective fermion-pair algebras

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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

Received 10 April 1995; published in the issue dated September 1995

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.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.52.1394
DOI:
10.1103/PhysRevC.52.1394
PACS:
21.60.Ev, 21.60.Cs, 21.60.Fw
 
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