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math.AP2025
Spectral cluster bounds for orthonormal functions on manifolds with nonsmooth metrics
Jean-Claude Cuenin, Ngoc Nhi Nguyen, Xiaoyan Su
We establish spectral cluster bounds for families of orthonormal functions associated to the Laplace-Beltrami operator on a compact Riemannian manifold. The metric is only as…
math-ph2025
Derivation of Hartree-Fock Dynamics and Semiclassical Commutator Estimates for Fermions in a Magnetic Field
Niels Benedikter, Chiara Boccato, Domenico Monaco +1
We study the quantum dynamics of a large number of interacting fermionic particles in a constant magnetic field. In a coupled mean-field and semiclassical scaling limit, we show th…