Interpolation inequalities and spectral estimates for magnetic operators

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.

References in corpus (1)

• Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces

Cited by in corpus (3)

• Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields
• Magnetic rings
• Inequalities involving Aharonov-Bohm magnetic potentials in dimensions 2 and 3