The small amplitude-to-thread ratio helical configuration of a
vortex filament in the ideal fluid behaves exactly as de Broglie
wave. The complex-valued algebra of quantum mechanics finds a
simple mechanical interpretation in terms of differential
geometry of the space curve. The wave function takes the meaning
of the velocity, with which the helix rotates about the screw
axis. The helices differ in type of the screw—right- or
left-handed. Two kinds of the helical waves deflect in the
inhomogeneous fluid vorticity field in the same way as spin
particles in the Stern-Gerlach experiment.
Publié le : 2002-05-14
Classification:
81P99,
76B47,
76B25,
35Q55,
37K40
@article{1049074918,
author = {Dmitriyev, Valery P.},
title = {Mechanical analogy for the wave-particle: helix on a vortex filament},
journal = {J. Appl. Math.},
volume = {2},
number = {8},
year = {2002},
pages = { 241-263},
language = {en},
url = {http://dml.mathdoc.fr/item/1049074918}
}
Dmitriyev, Valery P. Mechanical analogy for the wave-particle: helix on a vortex filament. J. Appl. Math., Tome 2 (2002) no. 8, pp. 241-263. http://gdmltest.u-ga.fr/item/1049074918/