{
  "abstract": "Separation of variables in Schrödinger equation allows an infinite-dimensional family of physically distinct field configurations that are dynamically indistinguishable in one selected sector, labeled by a conserved quantum number, while differing in all others. We call such a symmetry a partial isophase symmetry. Two main examples are considered: axially symmetric magnetic backgrounds (a rigid spectral flow of the Fock--Darwin oscillator, purely magnetic isophase families, and a two-channel extension) and a Cartesian slab geometry (magnetic barriers in two-dimensional electron gases, treated in the Appendices). We further discuss the consequences of this symmetry for the inverse spectral problem and consider its quasiclassical counterpart.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23645",
  "author_total": 1,
  "authors": [
    {
      "name": "Andrey M. Pupasov-Maksimov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cg23t6r914frv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23645",
  "fulltext_url": null,
  "id": "cg23t6r914frv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23645",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7222952026",
  "pdf_url": "https://arxiv.org/pdf/2610.23645",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cg23t6r914frv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.23645",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23645"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Partially isophase electro-magnetic configurations",
  "title_text": "Partially isophase electro-magnetic configurations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/cg23t6r914frv",
  "venue": "arXiv",
  "versions": []
}