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.
