2012/04/08 by Alexander Komech, Elena Kopylova, Komech, Alexander +1
Mathematics · #34L25 #35L10 #47A40 #81U05 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1204.1731
openalex publication_date 2012/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.