Absence of positive eigenvalues of magnetic Schr\"odinger operators

23 Apr 2020 Avramska-Lukarska Silvana Hundertmark Dirk Kovarik Hynek

We study sufficient conditions for the absence of positive eigenvalues of magnetic Schr\"odinger operators in $\mathbb{R}^d,\, d\geq 2$. In our main result we prove the absence of eigenvalues above certain threshold energy which depends explicitly on the magnetic and electric field... (read more)

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  • MATHEMATICAL PHYSICS
  • ANALYSIS OF PDES
  • MATHEMATICAL PHYSICS
  • SPECTRAL THEORY