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math-ph2026
Eigenvalue asymptotics of Müller minimizers for atoms and molecules
Rupert L. Frank, Long Meng, Phan Thành Nam +1
We study the spectral properties of minimizers of the Müller functional for atoms and molecules with electrons and total nuclear charge . We prove that under some suitable a…
math-ph2026
Sharp upper bounds for the density of relativistic atoms: Noninteracting case
Rupert L. Frank, Konstantin Merz
We prove an optimal upper bound for the density of electrons of an infinite Bohr atom (no electron-electron interactions) described by the relativistic operators of Chandrasekhar a…
math-ph2025
A Jensen inequality for partial traces and applications to partially semiclassical limits
Eric A. Carlen, Rupert L. Frank, Simon Larson
We prove a matrix inequality for convex functions of a Hermitian matrix on a bipartite space. As an application we reprove and extend some theorems about eigenvalue asymptotics of…