On the time evolution of the mean-field polaron
Philippe Bechouche, Juanjo Nieto, E. Ruiz Arriola, Juan Soler · Journal of Mathematical Physics · 2000
In this paper a mean-field theory for the evolution of an electron in a crystal is proposed in the framework of the Schrödinger formalism. The well-posedness of the problem as well as the conservation laws associated to the invariances of the Action Functional of the problem and the stability of the minimal energy solution are studied.