{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:14:58Z","timestamp":1760058898965,"version":"build-2065373602"},"reference-count":45,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2025,5,3]],"date-time":"2025-05-03T00:00:00Z","timestamp":1746230400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>It is experimentally established that there is no ground triplet state of the natural He atom. There is also no exact analytical solution to the Schr\u00f6dinger equation corresponding to this state. For a two-dimensional two-electron \u2018artificial atom\u2019 or a semiconductor quantum dot in a magnetic field, as described by the Schr\u00f6dinger\u2013Pauli equation, we provide theoretical proof of the existence of a ground triplet state by deriving an exact analytical correlated wave function solution to the equation. The state exists in the Wigner high-electron-correlation regime. We further explain that the solution satisfies all requisite symmetry and electron coalescence constraints of a triplet state. Since, due to technological advances, such a Wigner crystal quantum dot can be created, we propose an experimental search for the theoretically predicted ground triplet-state spectral line. We note that there exists an analytical solution to the Schr\u00f6dinger\u2013Pauli equation for a ground singlet state in the Wigner regime for the same value of the magnetic field. The significance to quantum mechanics of the probable experimental observation of the ground triplet state for an \u2018artificial atom\u2019 is discussed.<\/jats:p>","DOI":"10.3390\/axioms14050349","type":"journal-article","created":{"date-parts":[[2025,5,4]],"date-time":"2025-05-04T20:10:27Z","timestamp":1746389427000},"page":"349","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Theoretical Proof of and Proposed Experimental Search for the Ground Triplet State of a Wigner-Regime Two-Electron \u2018Artificial Atom\u2019 in a Magnetic Field"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4646-2548","authenticated-orcid":false,"given":"Marlina","family":"Slamet","sequence":"first","affiliation":[{"name":"Department of Chemistry & Physics, Sacred Heart University, Fairfield, CT 06825, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8412-8981","authenticated-orcid":false,"given":"Viraht","family":"Sahni","sequence":"additional","affiliation":[{"name":"Department of Physics, Brooklyn College of the City University of New York, Brooklyn, NY 11210, USA"},{"name":"Department of Physics, The Graduate Center of the City University of New York, New York, NY 10016, USA"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1007\/BF02980631","article-title":"On the connexion between the completion of electron groups in an atom with the complex structure of spectra","volume":"31","author":"Pauli","year":"1925","journal-title":"Z. 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[2nd ed.].","DOI":"10.1007\/978-3-662-49842-2"}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/5\/349\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T17:26:36Z","timestamp":1760030796000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/5\/349"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,3]]},"references-count":45,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2025,5]]}},"alternative-id":["axioms14050349"],"URL":"https:\/\/doi.org\/10.3390\/axioms14050349","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2025,5,3]]}}}