Reconsideration of Matter Waves: A Brief Study | Chapter 2 | Newest Updates in Physical Science Research Vol. 15

 Planck's constant divided by the particle's momentum, _mw=h/mv, was used by DeBroglie to predict the wavelength of matter waves in the early twentieth century. However, the failure to come up with a viable theory for the matter wave frequency led to a loss of interest.

The frequency of the matter wave was expected to correspond to the particle kinetic energy, f mw=1/2mv2/h, but the resulting velocity of the particle's matter, v=f mW mw, is that the matter wave moves at half the speed of the particle, which is obviously absurd because the particle and its wave must move together.

When relativistic mass is employed (which it should be in any case), the problem persists, with the same mass appearing in both the numerator and denominator, cancelling. It's useless to speculate that the matter wave is produced by total energy, not simply kinetic energy. This assigns a matter wave to a stationary particle. It also shows the resultant velocity of the wave racing ahead of its particle as c(2/) v.

A true matter wave frequency and a new understanding of particle kinetics and the atom's stable orbits result from a rethink of Einstein's calculation of relativistic kinetic energy (which created his famous E=mc2)

Author (S) Details

Roger Ellman
The-Origin Foundation, Inc. 1401 Fountaingrove Pkwy, Santa Rosa, CA 95403, USA.

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