Les états cohérents de la particule libre.

Abstract

The didactic importance of a free particle in quantum mechanics, its analysis of the coherent state, has long been intact. It was only recently that he was noticed and studied in the semi-classical field. Although the known solutions, reported by Bagrov et al. For a free particle are described using the non Hermitian linear invariant operator, we show in this work that the general solution of the Schrödinger equation can also be naturally computed using a simpler method based on a hermitian linear invariant operator. According to this, an exact Gaussian wave function that corresponds to a coherent state is the solution Obtained.