{"paper":{"title":"Wigner function of noninteracting trapped fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"David S. Dean, Gregory Schehr, P. Le Doussal, Satya N. Majumdar","submitted_at":"2018-01-08T20:39:46Z","abstract_excerpt":"We study analytically the Wigner function $W_N({\\bf x},{\\bf p})$ of $N$ noninteracting fermions trapped in a smooth confining potential $V({\\bf x})$ in $d$ dimensions. At zero temperature, $W_N({\\bf x},{\\bf p})$ is constant over a finite support in the phase space $({\\bf x},{\\bf p})$ and vanishes outside. Near the edge of this support, we find a universal scaling behavior of $W_N({\\bf x},{\\bf p})$ for large $N$. The associated scaling function is independent of the precise shape of the potential as well as the spatial dimension $d$. We further generalize our results to finite temperature $T>0$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02680","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"}