A Differential Geometric Model for Energy-Time Integration in Many-Electron Quantum Systems
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| Natura: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866902090479042560 |
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| author | Yıldırım, Begüm |
| author_facet | Yıldırım, Begüm |
| contents | <p class="MsoNormal"><span>We present a novel mathematical formulation for modeling energy transfer processes in many-electron quantum systems using differential forms. The proposed integral structure captures the time-dependent nature of energy dynamics and orbital coupling via an exterior product (wedge), suggesting compatibility with both Hodge theory and quantum chemical multi-body problems. The formulation is numerically verified and theoretically aligned with state-of-the-art quantum simulations.</span></p> <br><br> <p><strong>Originality and AI-use statement:</strong><br> This work is an original research output by Begüm Yıldırım. AI tools, if used, were limited to language refinement, grammar correction, formatting, translation assistance, and clarity improvement. The conceptual framework, research direction, interpretation, models, and conclusions belong to the author. External sources, datasets, or prior works are cited where applicable.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20281390 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Differential Geometric Model for Energy-Time Integration in Many-Electron Quantum Systems Yıldırım, Begüm <p class="MsoNormal"><span>We present a novel mathematical formulation for modeling energy transfer processes in many-electron quantum systems using differential forms. The proposed integral structure captures the time-dependent nature of energy dynamics and orbital coupling via an exterior product (wedge), suggesting compatibility with both Hodge theory and quantum chemical multi-body problems. The formulation is numerically verified and theoretically aligned with state-of-the-art quantum simulations.</span></p> <br><br> <p><strong>Originality and AI-use statement:</strong><br> This work is an original research output by Begüm Yıldırım. AI tools, if used, were limited to language refinement, grammar correction, formatting, translation assistance, and clarity improvement. The conceptual framework, research direction, interpretation, models, and conclusions belong to the author. External sources, datasets, or prior works are cited where applicable.</p> |
| title | A Differential Geometric Model for Energy-Time Integration in Many-Electron Quantum Systems |
| url | https://doi.org/10.5281/zenodo.20281390 |