Mechanical analogy for the wave-particle: helix on a vortex filament

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dc.creatorDmitriyev, Valery P.
dc.date2000-12-01
dc.date2001-04-01
dc.date.accessioned2026-07-07T06:01:17Z
dc.date.available2026-07-07T06:01:17Z
dc.descriptionThe 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.
dc.description16 pages, links activated. See mesoscopic models at physics/9906019
dc.identifierhttps://arxiv.org/abs/quant-ph/0012008
dc.identifierhttp://arxiv.org/abs/quant-ph/0012008
dc.identifierJournal of Applied Mathematics, vol. 2, No 5, pp. 241-263 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89208
dc.subjectQuantum Physics
dc.subjectPattern Formation and Solitons
dc.subjectPhysics Education
dc.subjectFluid Dynamics
dc.titleMechanical analogy for the wave-particle: helix on a vortex filament
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