Geometrical Properties of Cumulant Expansions

dc.creatorKladko, K.
dc.creatorFulde, P.
dc.date1997-09-04
dc.date.accessioned2026-07-07T03:09:10Z
dc.date.available2026-07-07T03:09:10Z
dc.descriptionCumulants represent a natural language for expressing macroscopic properties of a solid. We show that cumulants are subject to a nontrivial geometry. This geometry provides an intuitive understanding of a number of cumulant relations which had been obtained so far by using algebraic considerations. We give general expressions for their infinitesimal and finite transformations and represent a cumulant wave operator through an integration over a path in the Hilbert space. Cases are investigated where this integration can be done exactly. An expression of the ground-state wavefunction in terms of the cumulant wave operator is derived. In the second part of the article we derive the cumulant counterpart of Faddeev`s equations and show its connection to the method of increments.
dc.description28 pages, Revtex
dc.identifierhttps://arxiv.org/abs/cond-mat/9709044
dc.identifierhttp://arxiv.org/abs/cond-mat/9709044
dc.identifierINTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY,v.66(#5),377-389 FEB 15,1998
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27782
dc.subjectCondensed Matter
dc.titleGeometrical Properties of Cumulant Expansions
dc.typetext

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