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An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential — arXiv:2609.03556

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.03556
License (as archived): CC0-1.0
Archived: 2026-10-17T02:31:55.906Z
SHA-256 of the archived text: 15a9467123ef2ee01727ff84bd55a3956bbc9e6ab902478a7ae82be7df2acf4d
Stable URL of this page: https://metraipolis.com/documento/dc_4eb4792ae91e

How to cite

An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential — arXiv:2609.03556 — arXiv (en), https://arxiv.org/abs/2609.03556 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_4eb4792ae91e (Metraipolis archive dc_4eb4792ae91e, sha256 15a9467123ef2ee01727ff84bd55a3956bbc9e6ab902478a7ae82be7df2acf4d)

BibTeX

@misc{dc4eb4792ae91e,
  title = {An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential — arXiv:2609.03556},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.03556},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_4eb4792ae91e; sha256 15a9467123ef2ee01727ff84bd55a3956bbc9e6ab902478a7ae82be7df2acf4d},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.03556. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-04 in math.PR).
Categorie arXiv: Probability (math.PR) ; Mathematical Physics (math-ph); Analysis of PDEs (math.AP).
Pagina del lavoro: https://arxiv.org/abs/2609.03556 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T02:08:47.861Z dalla pagina https://arxiv.org/catchup/math.PR/2026-09-04?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).