Remarks on eigenvalue estimates and semigroup domination

Details Remarks on eigenvalue estimates and semigroup domination Remarks on eigenvalue estimates and semigroup domination

2009-03-03

arxiv.org/abs/0903.0561v1

Mathematics

Spectral Theory

26 pages

Scientific paper

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

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