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arXiv · 2107.10782

Mass Propagation for Electromagnetic Schrödinger Evolutions

Juan Antonio Barceló·Biagio Cassano·Luca Fanelli
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Abstract

We investigate the validity of gaussian lower bounds for solutions to an electromagnetic Schrödinger equation with a bounded time-dependent complex electric potential and a time-independent vector magnetic potential. We prove that, if a suitable geometric condition is satisfied by the vector potential, then positive masses inside of a bounded region at a single time propagate outside the region, provided a suitable average in space-time cylinders is taken.

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Juan Antonio Barceló, Biagio Cassano, Luca Fanelli. 2021-07-22. Mass Propagation for Electromagnetic Schrödinger Evolutions. https://arxiv.org/abs/2107.10782

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