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 Schrödinger and the Born–Infeld agrangians, 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.

On the Schrödinger–Born–Infeld System / Azzollini, Antonio; Pomponio, Alessio; Siciliano, Gaetano. - In: BULLETIN BRAZILIAN MATHEMATICAL SOCIETY. - ISSN 1678-7544. - 50:1(2019), pp. 275-289. [10.1007/s00574-018-0111-y]

On the Schrödinger–Born–Infeld System

Pomponio, Alessio;
2019-01-01

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 Schrödinger and the Born–Infeld agrangians, 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.
2019
On the Schrödinger–Born–Infeld System / Azzollini, Antonio; Pomponio, Alessio; Siciliano, Gaetano. - In: BULLETIN BRAZILIAN MATHEMATICAL SOCIETY. - ISSN 1678-7544. - 50:1(2019), pp. 275-289. [10.1007/s00574-018-0111-y]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/115400
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