{"paper":{"title":"Wehrl entropies and Euclidean Landau levels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"H. Kassogue, I. F. Fatani, P. Kayupe Kikodio, Z. Mouayn","submitted_at":"2016-05-27T12:23:31Z","abstract_excerpt":"We are concerned with an information-theoretic measure of uncertainty for quantum systems. Precisely, the Wehrl entropy of the phase-space probability $Q^{(m)}_{\\hat{\\rho}}=\\left\\langle z,m|\\hat{\\rho}|z,m\\right\\rangle $ which is known as Husimi function, where $\\hat{\\rho}$ is a density operator and $% \\left|z,m\\right\\rangle $ are coherent states attached to an Euclidean $m$th Landau level. We obtain the Husimi function $Q^{(m)}_{\\beta}$ of the thermal density operator $\\hat{\\rho}_{\\beta}$ of the harmonic oscillator, which leads by duality, to the Laguerre probability distribution of the mixed "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08606","kind":"arxiv","version":3},"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"}