Some open mathematical problems concerning charged quantum particles

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.

Authors

Publication Details

Journal
Comptes Rendus Physique
Published
2025-05-07
DOI
https://doi.org/10.5802/crphys.249
Citations
2
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
7.38
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article

Some open mathematical problems concerning charged quantum particles

Mathieu Lewin
2 citations
Comptes Rendus Physique
Spectral Theory in Mathematical Physics
7.38
article

Some open mathematical problems concerning charged quantum particles

Mathieu Lewin
article en
2 citations

Abstract

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.

Comptes Rendus PhysiqueVol. 26(G1)
Openalex Percentile: Top 4%
Spectral Theory in Mathematical Physics
7.38
DOIOpen Access PDFOpenAlex
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Some open mathematical problems concerning charged quantum particles — Mathieu Lewin · Comptes Rendus Physique (2025) | TGRS Research Map | TGRS