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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…
math.SP2025
Improved semiclassical eigenvalue estimates for the Laplacian and the Landau Hamiltonian
Rupert L. Frank, Simon Larson, Paul Pfeiffer
The Berezin--Li--Yau and the Kröger inequalities show that Riesz means of order of the eigenvalues of the Laplacian on a domain of finite measure are bounded in terms…