Reduction Relations for the Third and the Fourth Moments of Energy Spectra in a Many-Particle Configuration

Open Access

1 July 1972

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 48 (1) , 110-132
https://doi.org/10.1143/PTP.48.110

Abstract

The third and fourth moments of energy spectra in a many-particle configuration are completely related to two-particle matrix elements, so that neither c.f.p. nor explicit diagonalization of any matrix is needed to evaluate these moments. Recah algebra and reduction relations for c.f.p. are well used. We confine ourselves, for simplicity, to jⁿ and j₁^n₁j₂^n₂ configurations of identical particles.

Keywords

FOURTH MOMENTS
REDUCTION RELATIONS
ALGEBRA
C.F.P
PARTICLE CONFIGURATION
ENERGY SPECTRA
EXPLICIT DIAGONALIZATION
J1N1J2N2 CONFIGURATIONS
COMPLETELY RELATED

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