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Absence of positive eigenvalues of magnetic Schroedinger operators

Speaker: Hynek Kovařík (Università degli studi di Brescia).

Absence of positive eigenvalues of magnetic Schroedinger operators We study sufficient conditions for the absence of positive eigenvalues of magnetic Schroedinger operators in R^n. In our main result we prove the absence of eigenvalues above certain threshold energy which depends explicitly on the magnetic and electric field. A comparison with the examples of Miller-Simon shows that our result is sharp as far as the decay of the magnetic field is concerned.

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