Progress of Theoretical Physics

An Equation for the Quasi-Particle RPA Based on the SO(2N + 1) Lie Algebra of the Fermion Operators

Seiya Nishiyama

Published Jun 1, 1983• 6 citations

Abstract

A way of constructing an equation for quasi-particle random phase approximation (RPA) including unpaired mode effects is proposed. We obtain a Jacobi equation on the coset manifold SO(2N+2)/U(N+1). Assuming the periodic Jacobi fields, we can get the SO(2N+1) RPA equation applicable to odd fermion systems.

DOI: 10.1143/ptp.69.1811

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