Relation of Matter Wave Verified in Diffusion Theory
DOI:
https://doi.org/10.14331/ijfps.2019.330131Keywords:
De Broglie hypothesis, Schrödinger equation, Markov process, Diffusion equationAbstract
Investigating the elementary process of diffusion yielded the universal expression of diffusivity relevant to the angular
momentum of each microparticle in a material. Using the diffusivity obtained then for the diffusion equation, the wave equation
of Schrödinger was theoretically derived from the physical concept in Newton mechanics. The derivation itself reveals that any
moving microparticle has the wave image as an intrinsic nature. It was theoretically revealed that the relation having been
accepted as a hypothesis proposed by De Broglie is valid for any moving microparticle and that another relation of matter-wave
is possible. The new diffusion theory based on the matter-wave will be useful for further development of the nanotechnology in
materials science.
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