{"paper":{"title":"The Schr\\\"odinger Formalism of Electromagnetism and Other Classical Waves --- How to Make Quantum-Wave Analogies Rigorous","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"Giuseppe De Nittis, Max Lein","submitted_at":"2017-10-23T04:35:06Z","abstract_excerpt":"This paper systematically develops the Schr\\\"odinger formalism that is valid also for gyrotropic media where the material weights $W = \\left ( \\begin{smallmatrix} \\varepsilon & \\chi \\chi^* & \\mu \\end{smallmatrix} \\right ) \\neq \\overline{W}$ are complex. This is a non-trivial extension of the Schr\\\"odinger formalism for non-gyrotropic media (where $W = \\overline{W}$) that has been known since at least the 1960s. Here, Maxwell's equations are rewritten in the form $\\mathrm{i} \\partial_t \\Psi = M \\Psi$ where the selfadjoint (hermitian) Maxwell operator $M = W^{-1} \\, \\mathrm{Rot} \\, \\big |_{\\omeg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10148","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"}