1204.1731 (Alexander Komech et al.)

Weighted decay for magnetic Schroedinger equation    [PDF]

Alexander Komech, Elena Kopylova

We obtain a dispersive long-time decay in weighted norms for solutions of 3D Schroedinger equation with generic magnetic and scalar potentials. The decay extends the results obtained by Jensen and Kato for the Schroedinger equation without magentic potentials. For the proof we develop the spectral theory of Agmon, Jensen and Kato, extending the high energy decay of the resolvent to the magnetic Schroedinger equation.

View original: http://arxiv.org/abs/1204.1731