Abstract
The Wave-Particle Duality is a basic property of microscopic particles.
As a basic concept of quantum mechanics, the wave-particle duality
theory from elementary particles to big molecules had been verified by
lots of experiments. Different from electromagnetic wave, the matter
wave’s propagation is not only fast but also adjustable. According to
the special relativity theory, the group velocity with which the overall
envelope shape of the wave, namely the related particle’s propagation
and information convey speed is changeable with its energy and related
wavelength, among which only the energy exceeds over the minimum value,
the propagation can be starting and the velocity is not allowed to
surpass the maximum value i.e. the light speed in vacuum. Take electron
as an example, if the free electron beam gains energy higher than around
8.187×10ˉᴵ⁴J and the related wavelength is shorter than around
5.316×10ˉᴲnm, the matter wave can start to propagate.