Developing de Broglie Wave
| dc.creator | Zheng-Johansson, J X | |
| dc.creator | Johansson, P-I | |
| dc.date | 2006-08-27 | |
| dc.date.accessioned | 2026-07-07T07:25:55Z | |
| dc.date.available | 2026-07-07T07:25:55Z | |
| dc.description | The electromagnetic component waves, comprising together with their generating oscillatory massless charge a material particle, will be Doppler shifted when the charge hence particle is in motion, with a velocity $v$, as a mere mechanical consequence of the source motion. We illustrate here that two such component waves generated in opposite directions and propagating at speed $c$ between walls in a one-dimensional box, superpose into a traveling beat wave of wavelength ${\mitΛ}_d$$=(\frac{v}{c}){\mitΛ}$ and phase velocity $c^2/v+v$ which resembles directly L. de Broglie's hypothetic phase wave. This phase wave in terms of transporting the particle mass at the speed $v$ and angular frequency ${\mitΩ}_d=2πv /{\mitΛ}_d$, with ${\mitΛ}_d$ and ${\mitΩ}_d$ obeying the de Broglie relations, represents a de Broglie wave. The standing-wave function of the de Broglie (phase) wave and its variables for particle dynamics in small geometries are equivalent to the eigen-state solutions to Schrödinger equation of an identical system. | |
| dc.description | 9 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0608265 | |
| dc.identifier | http://arxiv.org/abs/physics/0608265 | |
| dc.identifier | In: Prog. in Physics, v.4, 32-35, 2006; excerpt from: J.X. Zheng-Johansson and P-I. Johansson, Unification of Classical, Quantum and Relativistic Mechanics and of the Four Forces, Nova Sci. Pub., 2nd print., later 2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116893 | |
| dc.subject | General Physics | |
| dc.title | Developing de Broglie Wave | |
| dc.type | text |