Interpolation inequalities and spectral estimates for magnetic operators
classification
🧮 math.AP
keywords
estimatesmagneticinequalitiesinterpolationoperatorsaccuratebestbounds
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We prove magnetic interpolation inequalities and Keller-Lieb-Thir-ring estimates for the principal eigenvalue of magnetic Schr{\"o}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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