{
  "abstract": "Gaussian wave packets provide an exact analytical foundation for modeling time-dependent quantum phenomena, effectively bridging the gap between classical trajectories and full quantum mechanics. We introduce GWPTools, a highly extensible Wolfram Language framework designed to compute exact time-dependent Gaussian wave packet dynamics using a unified symbolic-numeric architecture. Built upon a robust ``parameter bus'' and polymorphic dispatch, the software serves as an interactive pedagogical tool for exploring quantum theory and an exact algebraic engine for rigorously benchmarking numerical grid-based and trajectory methodologies. Version 1.0.0 focuses on exact time evolution in driven one-dimensional quadratic potentials. Native extensions into quantum hydrodynamics and phase space representations enable exact energy decompositions, analytical Bohmian trajectories, and symbolic derivations of quasi-probability distributions and information metrics. We demonstrate the framework's modular scalability by prototyping interference in superpositions, open-system decoherence, and coupled two-dimensional oscillators. Ultimately, these capabilities establish a versatile foundation for maximizing the reach of exact analytical modeling toward increasingly complex driven quantum systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17683",
  "author_total": 4,
  "authors": [
    {
      "name": "Jeremy B. Maddox"
    },
    {
      "name": "Ismail Giliani"
    },
    {
      "name": "Carter M. Heck"
    },
    {
      "name": "Connor S. Mattingly"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d2bys2qscx2g5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17683",
  "fulltext_url": null,
  "id": "d2bys2qscx2g5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17683",
  "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",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.17683",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d2bys2qscx2g5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.17683",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17683"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "GWPTools: An extensible Wolfram Language framework for time-dependent Gaussian wave packet dynamics",
  "title_text": "GWPTools: An extensible Wolfram Language framework for time-dependent Gaussian wave packet dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/d2bys2qscx2g5",
  "venue": "arXiv",
  "versions": []
}