2 papers
math-ph2026
Approximate eigenfunctions for some aperiodic crystals
Long Meng
In this paper, we consider Hamiltonians for aperiodic crystals of the form \begin{align*} H_\varepsilon:=T(-i\nabla_x+{\mathbf A}(x,\varepsilon x))+V(x,\varepsilon x),\qquad x\in {…
math-ph2026
Eigenvalue asymptotics of Müller minimizers for atoms and molecules
Rupert L. Frank, Long Meng, Phan Thà nh 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…