  There exists a paradigm in which Quantum Mechanics is an exclusively
developed theory to explain phenomena on a microscopic scale. As the Planck's
constant is extremely small, $h\sim10^{-34}{J.s}$, and as in the relation of de
Broglie the wavelength is inversely proportional to the momentum; for a
mesoscopic or macroscopic object the Broglie wavelength is very small, and
consequently the undulatory behavior of this object is undetectable. In this
paper we show that with a particle oscillating around its classical trajectory,
the action is an integer multiple of a quantum of action, $S = nh_{o}$. The
quantum of action, $h_{o}$, which plays a role equivalent to Planck's constant,
is a free parameter that must be determined and depends on the physical system
considered. For a mesoscopic and macroscopic system: $h_{o}\gg h$, this allows
us to describe these systems with the formalism of quantum mechanics.
