Inadequacy of four-particle tests of Dyson boson mapping

G.-K. Kim and C. M. Vincent
Phys. Rev. C 32, 1776 – Published 1 November 1985
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Abstract

The spurious state problem is generalized Dyson boson mapping is examined. For cases where the fermion space is restricted to at most four-quasiparticle excitations, we show that Dyson boson images of normal-ordered quasiparticle interactions have identically vanishing matrix elements in the unphysical boson space. This ‘‘decoupling’’ feature explains the finding of previous authors that, in systems with at most four quasiparticles, every spurious state appears at its unperturbed energy. However, we show that the decoupling property does not generally hold in problems where there are excitations of more than four quasiparticles. Claims about methods for the spurious state problem, even though verified in four-quasiparticle calculations, may therefore be of limited validity.

  • Received 2 July 1985

DOI:https://doi.org/10.1103/PhysRevC.32.1776

©1985 American Physical Society

Authors & Affiliations

G.-K. Kim and C. M. Vincent

  • Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

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Issue

Vol. 32, Iss. 5 — November 1985

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