{
  "abstract": "We consider the Schrödinger equation for a charged particle in a randomly fluctuating external magnetic field and establish a singular perturbation limit in which the solution converges to a deterministic Schrödinger equation with Gaussian fluctuations. We propose a stochastic Schrödinger equation incorporating the behavior of both the deterministic average and the fluctuations and show that it has the same limiting behavior as the original model, while providing a simpler way to study the distribution of relevant observables.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03556",
  "author_total": 4,
  "authors": [
    {
      "name": "Franco Flandoli"
    },
    {
      "name": "Reika Fukuizumi"
    },
    {
      "name": "Francesco Grotto"
    },
    {
      "name": "Eliseo Luongo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/94yfxfjtfa8v0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03556",
  "fulltext_url": null,
  "id": "94yfxfjtfa8v0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03556",
  "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.AP"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7208745145",
  "pdf_url": "https://arxiv.org/pdf/2609.03556",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/94yfxfjtfa8v0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2609.03556",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03556"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential",
  "title_text": "An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/94yfxfjtfa8v0",
  "venue": "arXiv",
  "versions": []
}