{"paper":{"title":"Determinant representation for dynamical correlation functions of the Quantum nonlinear Schr\\\"odinger equation","license":"","headline":"","cross_cats":["cond-mat","math.QA","nlin.SI","q-alg","solv-int"],"primary_cat":"hep-th","authors_text":"N. Slavnov, T. Kojima, V. Korepin","submitted_at":"1996-11-26T07:07:19Z","abstract_excerpt":"The foundation for the theory of correlation functions of exactly solvable models is determinant representation. Determinant representation permit to describe correlation functions by classical completely integrable differential equations [Barough, McCoy, Wu]. In this paper we show that determinant represents works not only for free fermionic models. We obtained determinant representation for the correlation function $<\\psi(0,0)\\psi^\\dagger(x,t)>$ of the quantum nonlinear Schr\\\"odinger equation, out of free fermionic point. In the forthcoming publications we shall derive completely integrable "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9611216","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}