{"paper":{"title":"Dynamical correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Takeo Kojima","submitted_at":"1999-01-01T00:00:00Z","abstract_excerpt":"We study the time and temperature dependent correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions $\\langle \\psi(x_1,0)\\psi^\\dagger(x_2,t)\\rangle _{\\pm,T}$. We derive the Fredholm determinant formulae for the correlation functions, by means of the Bethe Ansatz. For the special case $x_1=0$, we express correlation functions with Neumann boundary conditions $\\langle\\psi(0,0)\\psi^\\dagger(x_2,t)\\rangle _{+,T}$, in terms of solutions of nonlinear partial differential equations which were introduced in \\cite{kojima:Sl} as a generalization of the nonlinear Sc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9901024","kind":"arxiv","version":1},"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"}