A Jensen inequality for partial traces and applications to partially semiclassical limits
Artikel i vetenskaplig tidskrift, 2025
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 Schr & ouml;dinger operators with homogeneous potentials. The case of main interest is where the Weyl expression is infinite and a partially semiclassical limit occurs.
Jensen's inequality
Semiclassical limits
Partial traces
Författare
Eric A. Carlen
Rutgers University
Rupert L. Frank
Ludwig-Maximilians-Universität München (LMU)
MCQST
Simon Larson
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Letters in Mathematical Physics
0377-9017 (ISSN) 1573-0530 (eISSN)
Vol. 115 3 52Ämneskategorier (SSIF 2025)
Matematisk analys
DOI
10.1007/s11005-025-01938-9