{
  "abstract": "We investigate finite-time field-induced ionization from a one-dimensional attractive delta-function well in a uniform dc electric field of arbitrary strength. Our aim is to determine the physical bound-state survival amplitude \\(a_b(t)\\) at any observation time without constructing the complete time-dependent propagator or wavefunction. In the gauge-equivalent Kramers--Henneberger representation, the field appears as motion of the contact point, and the resulting dynamics reduces to a closed Volterra equation. Exact endpoint-phase factorization organizes the full chronological rescattering history into a relative-time convolution hierarchy and an exact resolvent. By introducing the accumulated bound-state amplitude and reorganizing its two-time domain in relative and complementary center times, the final contact contribution becomes an explicit boundary integral. All spatial integrations are carried out analytically. The field-driven contact-free term is obtained in closed form using the Faddeeva function, while the direct and repeated-rescattering terms are expressed as explicitly evaluable time integrals. The result applies at arbitrary dc-field strength and finite time, with no weak-field expansion, rescattering truncation, or asymptotic-time approximation. It is verified through the exact field-free limit and an independent numerical solution of the original physical Volterra equation. The formulation gives an exact nonperturbative solution of a fundamental ionization model and reveals otherwise hidden analytical structure in driven quantum dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16507",
  "author_total": 2,
  "authors": [
    {
      "name": "Ilki Kim"
    },
    {
      "name": "Gerald J. Iafrate"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f1hax38vdfcjj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16507",
  "fulltext_url": null,
  "id": "f1hax38vdfcjj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16507",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Laser-Matter Interactions and Applications"
    ]
  ],
  "openalex": "W7213410317",
  "pdf_url": "https://arxiv.org/pdf/2609.16507",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f1hax38vdfcjj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16507",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16507"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Exact Ionization Amplitudes for a Delta-Function Well in an Arbitrary-Strength DC Electric Field",
  "title_text": "Exact Ionization Amplitudes for a Delta-Function Well in an Arbitrary-Strength DC Electric Field",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/f1hax38vdfcjj",
  "venue": "arXiv",
  "versions": []
}