{"paper":{"title":"Self-Dual Vortices in Chern-Simons Hydrodynamics","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Oktay K. Pashaev (IZTECH, Taiwan), Turkey)and Jyh-Hao Lee (AC","submitted_at":"2001-04-30T13:38:32Z","abstract_excerpt":"The classical theory of non-relativistic charged particle interacting with U(1) gauge field is reformulated as the Schr\\\"odinger wave equation modified by the de-Broglie-Bohm quantum potential nonlinearity. For, (1 - $\\hbar^2$) deformed strength of quantum potential the model is gauge equivalent to the standard Schr\\\"odinger equation with Planck constant $\\hbar$, while for the strength (1 + $\\hbar^2$), to the pair of diffusion-anti-diffusion equations. Specifying the gauge field as Abelian Chern-Simons (CS) one in 2+1 dimensions interacting with the Nonlinear Schr\\\"odinger field (the Jackiw-Pi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0104258","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0104258/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}