A Jensen inequality for partial traces and applications to partially semiclassical limits
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| Title: | A Jensen inequality for partial traces and applications to partially semiclassical limits |
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| Authors: | Carlen, Eric A., Frank, Rupert L., Larson, Simon, 1990 |
| Source: | Letters in Mathematical Physics. 115(3) |
| Subject Terms: | Jensen's inequality, Semiclassical limits, Partial traces |
| Description: | 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. |
| File Description: | electronic |
| Access URL: | https://research.chalmers.se/publication/546641 https://research.chalmers.se/publication/546641/file/546641_Fulltext.pdf |
| Database: | SwePub |
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Nájsť tento článok vo Web of Science | Abstract: | 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. |
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| ISSN: | 03779017 15730530 |
| DOI: | 10.1007/s11005-025-01938-9 |