A Jensen inequality for partial traces and applications to partially semiclassical limits

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Titel: A Jensen inequality for partial traces and applications to partially semiclassical limits
Autoren: Carlen, Eric A., Frank, Rupert L., Larson, Simon, 1990
Quelle: Letters in Mathematical Physics. 115(3)
Schlagwörter: Jensen's inequality, Semiclassical limits, Partial traces
Beschreibung: 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.
Dateibeschreibung: electronic
Zugangs-URL: https://research.chalmers.se/publication/546641
https://research.chalmers.se/publication/546641/file/546641_Fulltext.pdf
Datenbank: SwePub