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The Minimum Speed of a Free Massive Particle


Premovic, Pavle I.


Research Papers





Date Published:

September 20, 2021




particle, de Broglie’s wavelength, speed, kinetic energy, relativistic.


The equations for the minimum speed and kinetic energy of a free massive particle are derived within the non-relativistic and special relativistic frameworks. These equations are based on de Broglie's relation between momentum and wavelength of this particle.


D N Turanyanin(Belgrade, Serbia):

Well, we here have a very interesting idea of a minimal particles' speed based on inspiring de Broglie's intuition. By itself it looks like a quite fundamental finding. One, however, can have some questions, or even further considerations.

Firstly, speed (no matter of magnitude, i.e. its domain) always IS relative, physically speaking. The problem, or even a paradox, can be traced back to both Einstein and de Broglie. Namely, even that v_min is, or should be, a relative value. So, being "relative" it could be anything from 0 to inf. which depends on ref. system.

On the other hand, if we go beyond such a classical objections then that speed can be compared with other limit c which in this framework defines a particle´s minimal (Compton´s) wavelength. Moreover, the so called wave speed of the de Broglie´s waves reads w = c^2/v so accordingly we here get an interesting limit

w* = c^2/v_min .

We may ask ourselves what would be its physical meaning (if any) and possible connection with other physical parameters of substance.

With best wishes to both the author and this very scientific finding,


Posted: March 09, 2021 @ 10:37:17 am

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