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arXiv · 1710.03151

On the Schr\"odinger-Born-Infeld system

Antonio Azzollini·Alessio Pomponio·Gaetano Siciliano
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Abstract

In this paper we study a system which we propose as a model to describe the interaction between matter and electromagnetic field from a dualistic point of view. This system arises from a suitable coupling of the Schr\"odinger and the Born-Infeld lagrangians, this latter replacing the role that, classically, is played by the Maxwell lagrangian. We use a variational approach to find an electrostatic radial ground state solution by means of suitable estimates on the functional of the action.

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Antonio Azzollini, Alessio Pomponio, Gaetano Siciliano. 2017-10-09. On the Schr\"odinger-Born-Infeld system. https://arxiv.org/abs/1710.03151

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