Traces of creation-annihilation operators and Fredholm's formulas

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dc.creatorChervov, Alexander
dc.date1997-03-09
dc.date1997-12-21
dc.date.accessioned2026-07-07T09:04:59Z
dc.date.available2026-07-07T09:04:59Z
dc.descriptionWe prove the formula for the traces of certain class of operators in bosonic and fermionic Fock spaces. Vertex operators belong to this class. Traces of vertex operators can be used for calculation of correlation functions and formfactors of integrable models (XXZ, Sine-Gordon, etc.), that is why we are interested in this problem. Also we show that Fredholm's minor and determinant can be expressed by such traces. We obtain a short proof of the Fredholm's formula for the solution of an integral equation. Analogue of Fredholm's formula in terms of permanents is obtained.
dc.description20 pages, LaTex. Minor corrections
dc.identifierhttps://arxiv.org/abs/q-alg/9703017
dc.identifierhttp://arxiv.org/abs/q-alg/9703017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149581
dc.subjectQuantum Algebra
dc.subjectFunctional Analysis
dc.subjectHigh Energy Physics - Theory
dc.titleTraces of creation-annihilation operators and Fredholm's formulas
dc.typetext

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