Weighted decay for magnetic Schroedinger equation

Details Weighted decay for magnetic Schroedinger equation Weighted decay for magnetic Schroedinger equation

2012-04-08

arxiv.org/abs/1204.1731v1

Physics

Mathematical Physics

14 pages, 0 figures

Scientific paper

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.

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