  It has been shown earlier that matter waves which are known to lie typically
in the range of a few Angstrom, can also manifest in the macrodomain with a
wave length of a few centimeters, for electrons propagating along a magnetic
field. This followed from the predictions of a probability amplitude theory by
the author in the classical macrodomain of the dynamics of charged particles in
a magnetic field. It is shown in this paper that this case constitutes only a
special case of a generic situation whereby composite systems such as atoms and
molecules in their highly excited internal states,can exhibit matter wave
manifestation in macro and mesodomains. The wave length of these waves is
determined, not by the mass of the particle as in the case of the de Broglie
wave, but by the frequency, associated with the internal state of excitation,
and is given by a nonquantal expression, $\lambda =2\pi v/\omega$, $v$ being
the velocity of the particle. For the electrons in a magnetic field the
frequency corresponds to the gyrofrequency, $\Omega$ and the nonquantal wave
length is given by $\lambda = 2\pi v_{\parallel}/\Omega$; $v_{\parallel}$ being
the velocity of electrons along the magnetic field.
