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arXiv · 1706.02950

Interpolation inequalities and spectral estimates for magnetic operators

Jean Dolbeault·Maria J. Esteban·Ari Laptev·Michael Loss
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Abstract

We prove magnetic interpolation inequalities and Keller-Lieb-Thir-ring estimates for the principal eigenvalue of magnetic Schr{ö}dinger operators. We establish explicit upper and lower bounds for the best constants and show by numerical methods that our theoretical estimates are accurate.

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Jean Dolbeault, Maria J. Esteban, Ari Laptev, Michael Loss. 2018-02-14. Interpolation inequalities and spectral estimates for magnetic operators. https://doi.org/10.1007/s00023-018-0663-9

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