OPTIMAL TIME DECAY ESTIMATES FOR THE ELECTROMAGNETIC SCHRÖDINGER EQUATION
Résumé
The aim of this paper is to analyze the time decay of solutions to the Schrödinger equation with a magnetic potential and a positive scalar electric field, both of which are shortrange, in asymptotically Euclidean spaces. We demonstrate that the decay rate of the solutions remains identical to that in the Euclidean case without an electromagnetic field. This analysis relies on specific differentiability properties of the spectral measure.
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