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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
