Abstract
We prove magnetic interpolation inequalities and Keller–Lieb–Thirring estimates for the principal eigenvalue of magnetic Schrödinger 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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Communicated by Jan Dereziński.
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Dolbeault, J., Esteban, M.J., Laptev, A. et al. Interpolation Inequalities and Spectral Estimates for Magnetic Operators. Ann. Henri Poincaré 19, 1439–1463 (2018). https://doi.org/10.1007/s00023-018-0663-9
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DOI: https://doi.org/10.1007/s00023-018-0663-9