Remarks on eigenvalue estimates and semigroup domination - Mathematics > Spectral TheoryReport as inadecuate




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Abstract: We present an overview over recent results concerning semi-classical spectralestimates for magnetic Schroedinger operators. We discuss how the constants inmagnetic and non-magnetic eigenvalue bounds are related and we prove, in anabstract setting, that any non-magnetic Lieb-Thirring-type inequality implies amagnetic Lieb-Thirring-type inequality with possibly a larger constant.



Author: Rupert L. Frank

Source: https://arxiv.org/



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