{
  "abstract": "Given a certain specific, $M$ by $M$ matrix form of the Feshbach's effective (i.e., energy-dependent) Hamiltonian $H^{(M)}_{e\\!f\\!f}(E)$, the inverse-problem reconstruction of the full-space, $N$ by $N$ matrix Hamiltonian $H^{(N)}$ is considered and reduced to the solution of a coupled set of polynomial algebraic equations. Using computer-assisted symbolic manipulations, an explicit algebraic reconstruction of $H^{(N)}$ is found feasible at not too large $K = N-M$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Miloslav Znojil 2026 Phys. Scr. 101 365402",
  "arxiv": "2608.18600",
  "author_total": 1,
  "authors": [
    {
      "name": "Miloslav Znojil"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3a923m6tbv7bw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.18600",
  "fulltext_url": null,
  "id": "3a923m6tbv7bw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.18600",
  "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",
      "nucl-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.18600",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3a923m6tbv7bw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2608.18600",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.18600"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Inverse Feshbach's problem: Solvability and solutions",
  "title_text": "Inverse Feshbach's problem: Solvability and solutions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/3a923m6tbv7bw",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1088/1402-4896/aea0af",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}