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math-ph2026
Approximate eigenfunctions for some aperiodic crystals
Long Meng
In this paper, we consider a broad class of continuum two-scale Hamiltonians \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 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…