I present some open mathematical problems concerning electrons in quantum mechanics and charged particles in general. After discussing the Schrödinger Hamiltonian describing atoms and molecules with classical nuclei, I turn to infinite systems and in particular to the homogeneous electron gas.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2025-05-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.249/ |
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| author | Lewin, Mathieu |
| author_facet | Lewin, Mathieu |
| author_sort | Lewin, Mathieu |
| collection | DOAJ |
| description | I present some open mathematical problems concerning electrons in quantum mechanics and charged particles in general. After discussing the Schrödinger Hamiltonian describing atoms and molecules with classical nuclei, I turn to infinite systems and in particular to the homogeneous electron gas. |
| format | Article |
| id | doaj-art-ffab3e84fb1649cfafd66ee89dbd0f69 |
| institution | Kabale University |
| issn | 1878-1535 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Physique |
| spelling | doaj-art-ffab3e84fb1649cfafd66ee89dbd0f692025-08-20T03:58:18ZengAcadémie des sciencesComptes Rendus. Physique1878-15352025-05-0126G136938010.5802/crphys.24910.5802/crphys.249Lewin, Mathieu0https://orcid.org/0000-0002-1755-0207CEREMADE, CNRS and Université Paris Dauphine - PSL, Place de Lattre de Tassigny, 75 016 PARIS, FranceI present some open mathematical problems concerning electrons in quantum mechanics and charged particles in general. After discussing the Schrödinger Hamiltonian describing atoms and molecules with classical nuclei, I turn to infinite systems and in particular to the homogeneous electron gas.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.249/Schrödinger equationCoulomb systemsHomogeneous electron gas |
| spellingShingle | Lewin, Mathieu Comptes Rendus. Physique Schrödinger equation Coulomb systems Homogeneous electron gas |
| topic | Schrödinger equation Coulomb systems Homogeneous electron gas |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.249/ |